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In graph theory, edges incident/directed between the same vertices
In graph theory, multiple edges (also called parallel edges or a multi-edge), are, in an undirected graph, two or more edges that are incident to the
Multiple_edges
Graph with multiple edges between two vertices
have multiple edges (also called parallel edges), that is, edges that have the same end nodes. Thus two vertices may be connected by more than one edge. There
Multigraph
Vertices connected in pairs by edges
curves for the edges. The edges may be directed or undirected. For example, if the vertices represent people at a party, and there is an edge between two
Graph_(discrete_mathematics)
Deleting a graph edge and merging its nodes
with multiple edges even if the original graph was a simple graph. However, some authors disallow the creation of multiple edges, so that edge contractions
Edge_contraction
Edge that connects a node to itself
multiple edges between the same vertices): Where graphs are defined so as to allow loops and multiple edges, a graph without loops or multiple edges is
Loop_(graph_theory)
Pictorial representation of symmetry
are the orbits of nodes and edges of the original diagram; the edges are single unless two incident edges map to the same edge (notably at nodes of valence
Dynkin_diagram
Measure of network community structure
network. Modularity is the fraction of the edges that fall within the given groups minus the expected fraction if edges were distributed at random. The value
Modularity_(networks)
Web browser developed by Microsoft
Microsoft Edge is a proprietary cross-platform web browser created by Microsoft and based on the Chromium open-source project, superseding Edge Legacy.
Microsoft_Edge
Representation of a surface as a triangle mesh with elevated vertices
need to explicitly define certain edges that are guaranteed not to be modified (that is, split into multiple edges) by the triangulator. Constrained Delaunay
Triangulated irregular network
Triangulated_irregular_network
Use of multiple antennas in radio
Multiple-input and multiple-output (MIMO) (/ˈmaɪmoʊ, ˈmiːmoʊ/) is a wireless technology that multiplies the capacity of a radio link using multiple transmit
MIMO
Planar maps require at most five colors
algorithm works as follows: In the first step, we collapse all multiple edges to single edges, so that the graph is simple. Next, we iterate over the vertices
Five_color_theorem
Conversion of a vector-graphics image to a raster image
triangle edge (or multiple edges in case of corners) – that is (or, in case of corners, all are), either the top or left edge. A top edge is an edge that
Rasterisation
Cancer of plasma cells
Multiple myeloma (MM), also known as plasma cell myeloma and simply myeloma, is a cancer of plasma cells, a type of white blood cell that normally produces
Multiple_myeloma
Automated methods for the creation of mazes
has multiple edges that connect it to the existing maze, select one of these edges at random. This will tend to branch slightly more than the edge-based
Maze_generation_algorithm
Computing technique employed to achieve parallelism
In computing, multiple instruction, multiple data (MIMD) is a technique employed to achieve parallelism. Machines using MIMD have a number of processor
Multiple instruction, multiple data
Multiple_instruction,_multiple_data
path is a path whose edges alternate between matched and unmatched edges. An alternating cycle is, similarly, a cycle whose edges alternate between matched
Glossary_of_graph_theory
2016 studio album by Noisia
Outer Edges is the third studio album by Dutch electronic trio, Noisia. Outer Edges was released on 5 August 2016, by Noisia's own record label Vision
Outer_Edges
Matrix that shows the relationship between two classes of objects
m are the numbers of vertices and edges respectively, such that B i j = { 1 if vertex v i is incident with edge e j , 0 otherwise. {\displaystyle
Incidence_matrix
Subgraph with contracted edges
of the graph G if H can be formed from G by deleting edges and vertices and by contracting edges. The theory of graph minors began with Wagner's theorem
Graph_minor
Mathematical classification
multiple edges, which corresponds to all simple roots in the root system forming angles of π / 2 = 90 ∘ {\displaystyle \pi /2=90^{\circ }} (no edge between
ADE_classification
Python library for graphs and networks
MultiGraphs allow multiple edges between the same pair of nodes. In other words, MultiGraphs permit parallel edges, where more than one edge can exist between
NetworkX
Network security technology
WAN session. Support for all edges equally, including physical locations, cloud data centers, users’ mobile devices and edge computing, with placement of
Secure_access_service_edge
Assignment of labels to elements of a graph
"disease". An edge-graceful labeling on a simple graph without loops or multiple edges on p vertices and q edges is a labeling of the edges by distinct
Graph_labeling
Measure of a graph's centrality, based on shortest paths
that either the number of edges that the path passes through (for unweighted graphs) or the sum of the weights of the edges (for weighted graphs) is minimized
Betweenness_centrality
Polytope or tiling whose vertices are identical
Semi-uniform if its elements are also isogonal but allow for multiple edges lengths Scaliform if all the edges are the same length. Noble if it is also isohedral
Isogonal_figure
Graph representing faces of another graph
need not be simple: it may have self-loops (an edge with both endpoints at the same vertex) or multiple edges connecting the same two vertices, as was already
Dual_graph
Representation of a graph's triconnected components
tree with its edges oriented away from the root of the tree, for the edges belonging to the tree, and towards the root for all other edges. They then find
SPQR_tree
Graph with at most one cycle per component
of vertices and edges such that each edge has two vertices (which may coincide) as endpoints. That is, we allow multiple edges (edges with the same pair
Pseudoforest
Family of random graph models
multi-edges. Multi-edge graphs: Graphs allowing multiple edges between the same pair of nodes. Loopy graphs: Graphs that include self-loops (edges connecting
Configuration_model
2025 Chinese-Hong Kong film by Larry Yang
To Multiple Territories". Deadline Hollywood. Retrieved 1 September 2025. Ramachandran, Naman (3 September 2025). "Jackie Chan's 'The Shadow's Edge' Lands
The_Shadow's_Edge
Irish and Welsh rock musician, U2 guitarist (born 1961)
David Howell Evans (born 8 August 1961), known by his stage name the Edge or simply Edge, is an Irish and British musician, singer, and songwriter. He is
The_Edge
Tree which includes all vertices of a graph
spanning tree (see about spanning forests below). If all of the edges of G are also edges of a spanning tree T of G, then G is a tree and is identical to
Spanning_tree
Subculture of hardcore punk
straight edge bands, and on multiple occasions, fights occurred between the musicians and fans. Most of the first wave of UK straight edge bands had
Straight_edge
Graph containing cycles of all possible lengths
n(n+1)/2-3} edges that are not pancyclic, but every Hamiltonian directed graph with at least n ( n + 1 ) / 2 − 1 {\displaystyle n(n+1)/2-1} edges is pancyclic
Pancyclic_graph
Graph with oriented edges
is a set of ordered pairs of vertices, called arcs, directed edges (sometimes simply edges with the corresponding set named E instead of A), arrows, or
Directed_graph
Higher-dimensional generalized digraph
beneath it. For 2-cells and up, which connect edges themselves, a source or target may consist of multiple edges of the dimension below it, as long as each
Polygraph_(mathematics)
Area of discrete mathematics
which are connected by edges (also called arcs, links, or lines). A distinction is made between undirected graphs, where edges link two vertices symmetrically
Graph_theory
Directed graph used for deadlock detection
more than a single resource to become available (the trivial case), multiple edges may represent a conjunctive (and) or disjunctive (or) set of different
Wait-for_graph
Generalization of graph theory
has no edges. Non-simple (or multiple) - has loops (hyperedges with a single vertex) or repeated edges, which means there can be two or more edges containing
Hypergraph
Canadian professional wrestler and actor (born 1973)
Michaels, Mr. Perfect, Randy Savage, and Ricky Steamboat. Edge's vignettes were filmed at multiple locations throughout New York City, including inside subway
Edge_(wrestler)
Line segment joining two adjacent vertices in a polygon or polytope
skeleton or edge-skeleton, a graph whose vertices are the geometric vertices of the polyhedron and whose edges correspond to the geometric edges. Conversely
Edge_(geometry)
Mathematical set with repetitions allowed
In multigraphs there can be multiple edges between any two given vertices. As such, the entity that specifies the edges is a multiset, and not a set
Multiset
Image processing method
usually be one edge on each side of the line. Although certain literature has considered the detection of ideal step edges, the edges obtained from natural
Edge_detection
idea behind Filter-Kruskal is to partition the edges in a similar way to quicksort and filter out edges that connect vertices that belong to the same tree
Parallel algorithms for minimum spanning trees
Parallel_algorithms_for_minimum_spanning_trees
2014 American science fiction action film by Doug Liman
Edge of Tomorrow is a 2014 American science fiction action film directed by Doug Liman and written by Christopher McQuarrie, Jez Butterworth and John-Henry
Edge_of_Tomorrow
Structure from which the geometry of the universe arises
infinite set of edges. From that graph emerge various constructions such as vertices with multiple edges, loops, and directed edges. These in turn support
Pregeometry_(physics)
Song by Kendrick Lamar featuring U2
by Bēkon and "American Soul" by Irish rock band U2. The song charted in multiple countries in 2017. These countries include Ireland, New Zealand, United
XXX_(Kendrick_Lamar_song)
Four-dimensional analogue of the cube
three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface
Tesseract
Structure-preserving correspondence between node-link graphs
graphs are finite, undirected graphs with loops allowed, but multiple edges (parallel edges) disallowed. A graph homomorphism f from a graph G = ( V (
Graph_homomorphism
Isogonal polyhedron with regular faces
them as part of the construction. Double edges. Skilling's figure has the property that it has double edges (as in the degenerate uniform polyhedra) but
Uniform_polyhedron
Part of the mathematical subject of group theory
terminus of e and is denoted t(e). Both loop-edges (that is, edges e such that o(e) = t(e)) and multiple edges are allowed. An orientation on A is a partition
Bass–Serre_theory
2020 film
out of 5 stars, highlighting its realistic characters, portrayed with multiple edges and without manichaeism, as the best thing about the film. List of Uruguayan
The_Year_of_Fury
Concept in social network theory
graph (i.e., a graph having no self-loops or multiple edges) with V the set of vertices and E the set of edges. Also, let N = | V | {\displaystyle N=|V|}
Triadic_closure
Graph database system
edges in a graph belong to types. Attributed because both nodes and edges may have attributes and Multigraph means that there may be multiple edges between
Sparksee_(graph_database)
Instrument for displaying time-varying signals
This makes it easier to establish a stable view of a waveform with multiple edges, which would otherwise cause additional triggers. Imagine the following
Oscilloscope
Technique used to increase the number of structures a microchip may contain
Multiple patterning (or multi-patterning) is a class of technologies for manufacturing integrated circuits (ICs), developed for photolithography to enhance
Multiple_patterning
Shape or style of a garment at the neck especially from the front view
The neckline is the top edge or edges of a garment that surrounds the neck, especially from the front view. Neckline also refers to the overall visual
Neckline
Pan-genome Graph Construction Methodology
(forward and reverse), and edges account for all combinations of these orientations. Graph metrics, including the count of nodes, edges, and connected components
Pan-genome_graph_construction
Theorem in graph theory
nine edges in the walk "blue-red-red—blue-red-red—blue-red-red", you will end up at the yellow vertex. Similarly, if you traverse all nine edges in the
Road_coloring_theorem
Graph modeling collaboration in a social network
collaboration graph is a simple graph, since it has no loop-edges and no multiple edges. The collaboration graph need not be connected. Thus each person
Collaboration_graph
vertex, yields an r-regular graph or multigraph. If this object has no multiple edges or loops (i.e. it is a graph), then it is the required result. If not
Random_regular_graph
Degree of connectedness within a graph
(vertices can be visited multiple times, no edge is traversed more than once), or walks (vertices and edges can be visited/traversed multiple times). An alternative
Centrality
Collectible card game
can stay in play multiple turns, but must be discarded if the player wishes to attack. Events: happen once and are discarded. Edges: modifying other cards
Highlander:_The_Card_Game
Graph with directed and undirected edges
(undirected) edges E, and a set of directed edges (or arcs) A. Consider adjacent vertices u , v ∈ V {\displaystyle u,v\in V} . A directed edge, called an
Mixed_graph
Assignment of colors to edges of a graph
graph theory, a proper edge coloring of a graph is an assignment of "colors" to the edges of the graph so that no two incident edges have the same color
Edge_coloring
Sudden increase in x-ray absorption
orbitals with some ligand p character; these features are called pre-edges. Pre-edge intensities (D0) are related to the amount of ligand (L) character
K-edge
Embedding a graph in 3D space with no cycles interlinked
and such that the curves for two different edges do not intersect except at a common endpoint of the edges. Any finite graph has a finite (though perhaps
Linkless_embedding
Geometric space
labelled by nonnegative integers and allowed to have loops, multiple edges and also numbered half-edges. Here the vertices of the graph correspond to irreducible
Moduli_of_algebraic_curves
2026 South Korean television series
Doctor on the Edge (Korean: 닥터 섬보이) is an ongoing South Korean medical romance television series written by Kim Ji-soo [ko], directed by Lee Myoungwoo
Doctor_on_the_Edge
2025 Motorola Edge-series smartphone
Edge 60 series, which also includes the Edge 60, Edge 60 Fusion, Edge 60 Stylus, and Edge 60s. The Motorola Edge 60 Pro features a 6.7-inch dual-edge
Motorola_Edge_60_Pro
Lighting technology
is done using three or more colors of LEDs, mixed colors will have multiple edges to shadows where different colors are showing; however, several manufacturers
LED_stage_lighting
consider multiple vertices or multiple edges as roots. The former are sometimes called vertex-rooted graphs in order to distinguish them from edge-rooted
Rooted_graph
Process of sewing layers of fabric together to make a padded material
instruments with length measurement and degree angle markings along multiple edges. Longarm quilting machines can be used to make larger quilts. Larger
Quilting
Node ordering for directed acyclic graphs
remove edge e from the graph if m has no other incoming edges then insert m into S if graph has edges then return error (graph has at least one cycle) else
Topological_sorting
Given that multiple edges between two vertices are not allowed, E k k ′ {\displaystyle E_{kk'}} is bounded by the maximum number of edges between two
Structural_cut-off
2008 video game
Mirror's Edge features a time trial mode where the player must complete courses as fast as possible. Each course is divided into multiple sections and
Mirror's_Edge
Device used to locate framing studs in buildings
a stud, edges of the stud, and regions without studs. Instant stud finders will indicate varied widths of studs and the location of multiple studs at
Stud_finder
remarked the occurrence, in science, of "multiple independent discovery". Robert K. Merton defined such "multiples" as instances in which similar discoveries
List_of_multiple_discoveries
Editing tool in digital image editing software
dragging to trace the edges of a selection, typically represented as a dotted marching ants line. Most software supports multiple closed contours, which
Lasso_tool
Graph in comparative genomics
and their edges are arranged in the order of P. Once completed, the edges of Q are reconnected to their original vertices. After all edges have been matched
Sequence_graph
numerous hits as frontman for the Who). Some musicians appear multiple times, either with multiple bands or as a member of a band and as a solo artist. (Eponymous
List of one-hit wonders in the United States
List_of_one-hit_wonders_in_the_United_States
2008 video game
re-added to the store multiple times due to a trademark dispute with Tim Langdell of Edge Games, concerning the use of the word "Edge" in the title. This
Edge_(video_game)
Type of discrete calculus
on differential graph operators below), and edge weights can encode similar information as multiple edges could. A node x j ∈ V {\displaystyle x_{j}\in
Calculus on finite weighted graphs
Calculus_on_finite_weighted_graphs
Ecological concept
either to the edges or to central sections of the habitat, resulting in a varied distribution. Edges also vary with orientation: edges on the north or
Edge_effects
1977 film by George Lucas
multiple references: Attributed to multiple references: Attributed to multiple references: Attributed to multiple references: Attributed to multiple references:
Star_Wars_(film)
Set of edges without common vertices
matching or independent edge set in an undirected graph is a set of edges without common vertices. In other words, a subset of the edges is a matching if each
Matching_(graph_theory)
Self-intersecting polyhedron with 12 faces
pairs of edges that cross at right angles at these points. The first stellation of the rhombic dodecahedron has 12 hexagonal faces, 36 edges, and 20 vertices
First stellation of the rhombic dodecahedron
First_stellation_of_the_rhombic_dodecahedron
Data structure representing a finite set of strings
no incoming edges), in which each edge of the graph is labeled by a letter or symbol, and in which each vertex has at most one outgoing edge for each possible
Deterministic acyclic finite state automaton
Deterministic_acyclic_finite_state_automaton
Abstract mathematical system of two types of objects and a relation between them
counterclockwise) of the diagram interchanges the blue and red vertices and maps edges to edges. That is to say that there exists a color interchanging automorphism
Incidence_structure
Hypothetical group of multiple universes
universes", "flat universes", "other universes", "alternate universes", "multiple universes", "plane universes", "parent and child universes", "many universes"
Multiverse
American artist (born 1975)
One of Adia Millett's largest exhibitions to date is entitled "Infinite Edges," and was held from 14 September—9 November 2019 at Traywick Contemporary
Adia_Millett
2008 film by Christopher Nolan
multiple references: Attributed to multiple references: Attributed to multiple references: Attributed to multiple references: Attributed to multiple references:
The_Dark_Knight
Academic field
{\displaystyle N} or, less commonly, the number of edges E {\displaystyle E} which (for connected graphs with no multi-edges) can range from N − 1 {\displaystyle N-1}
Network_science
Brazilian footballer (1940–2022)
from the original on 12 May 2024. Retrieved 12 May 2024. Santos – Pelé edges Eusébio as Santos defend title FIFA. 23 April 2007. Retrieved 5 May 2011
Pelé
2018 American film
for multiple women. Other devices profiled include artificial hips that can lead to cobalt poisoning and vaginal mesh devices that injured multiple women
The_Bleeding_Edge
Database using graph structures for queries
graph relates the data items in the store to a collection of nodes and edges, the edges representing the relationships between the nodes. The relationships
Graph_database
Type of supervised learning in machine learning
In machine learning, multiple-instance learning (MIL) is a type of supervised learning. Instead of receiving a set of instances which are individually
Multiple_instance_learning
Village and civil parish in Cheshire, England
southeast. In the 20th century, Alderley Edge expanded with post-war housing on its north-eastern and western edges, while Nether Alderley remained largely
Alderley_Edge
vertices, edges and faces. Its topology is captured by the graph of the connections between faces. A given mesh may actually contain multiple unconnected
Euler operator (digital geometry)
Euler_operator_(digital_geometry)
Logical formulation of graph properties
individual vertices and edges of a graph, while monadic second-order graph logic allows quantification over sets of vertices or edges. Logics based on least
Logic_of_graphs
MULTIPLE EDGES
MULTIPLE EDGES
Boy/Male
Hebrew
God shall multiply.
Boy/Male
Hindu, Indian, Tamil
Multiple
Boy/Male
Hebrew American Latin
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Australian, Vietnamese
Many; Multiple
Boy/Male
Muslim
Multiple lights. Luster.
Girl/Female
Hebrew
God will multiply.
Girl/Female
Hebrew
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Dutch, German, Hebrew
God will Multiply
Boy/Male
Hebrew Gaelic
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hindu, Indian
Un Countable; Multiple; Countless
Boy/Male
Hebrew
God will multiply.
Girl/Female
Hebrew
God will multiply.
Girl/Female
Hebrew
God will multiply.
Boy/Male
Hebrew Spanish
God will multiply.
Boy/Male
Hebrew Spanish
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hebrew
God will multiply.
MULTIPLE EDGES
MULTIPLE EDGES
Boy/Male
Hindu, Indian, Sanskrit
Good
Boy/Male
Indian
Clear, Evident
Boy/Male
English
Free friend; noble friend.
Boy/Male
Australian, Christian, Hebrew
May God Complete; May Jehovah Complete
Boy/Male
Irish
Hound of Ulster.
Boy/Male
Indian
Genius
Male
Thai/Siamese
Thai name SUNAN means "good word."
Boy/Male
Hindu, Indian, Telugu
Eternal
Girl/Female
Indian, Malayalam
Gem
Boy/Male
Shakespearean
Antony and Cleopatra'. Friend to Pompey.
MULTIPLE EDGES
MULTIPLE EDGES
MULTIPLE EDGES
MULTIPLE EDGES
MULTIPLE EDGES
n.
The number by which another number is multiplied. See the Note under Multiplication.
imp. & p. p.
of Multiply
v. t.
To multiply; to increase.
v. i.
To increase in extent and influence; to spread.
v. t.
To multiply; to make manifold.
n.
The multiplier.
n.
Multiplied diversity.
v. t.
To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication.
v. t.
To redouble; to multiply; to repeat.
a.
Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.
a.
Tending to multiply; having the power to multiply, or incease numbers.
p. pr. & vb. n.
of Multiply
v. i.
To increase amount of gold or silver by the arts of alchemy.
n.
One who, or that which, multiplies or increases number.
a.
Manifold; multiple.
n.
The number by which another number is multiplied; a multiplier.
n.
A quantity containing another quantity a number of times without a remainder.
n.
The number which is to be multiplied by another number called the multiplier. See Note under Multiplication.
a.
Having many flues; as, a multiflue boiler. See Boiler.
adv.
So as to multiply.