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Conjecture in graph theory
theory, Ryser's conjecture is a conjecture relating the maximum matching size and the minimum transversal size in hypergraphs. This conjecture first appeared
Ryser's_conjecture
Generalizations in graph theory
(Preprint) H. J. Ryser conjectured that, when n is odd, every n-tripartite-hypergraph has a matching of size n. S. K. Stein and Brualdi conjectured that, when
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
American mathematician
namesake of the Bruck–Ryser–Chowla theorem, Ryser's formula for the computation of the permanent of a matrix, and Ryser's conjecture. Ryser was born to the
H._J._Ryser
implicit graph conjecture on the existence of implicit representations for slowly-growing hereditary families of graphs Ryser's conjecture relating the
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Edge-colored graph matching where all edges have distinct colors
Translated into the rainbow matching terminology: In 1967, H. J. Ryser conjectured that, when n is odd, every proper edge-coloring of Kn,n has a rainbow
Rainbow_matching
Problem in linear algebra
operations. The best known general exact algorithm is due to H. J. Ryser (1963). Ryser's method is based on an inclusion–exclusion formula that can be given
Computing_the_permanent
Set of hyperedges where every pair is disjoint
(H)\leq (r-1)\nu (H).} Some special cases of the conjecture have been proved; see Ryser's conjecture. A hypergraph has the Kőnig property if its maximum
Matching_in_hypergraphs
Square array with symbols that each occur once per row and column
1967, H. J. Ryser conjectured that, when n is odd, every n-by-n Latin square has a transversal. In 1975, S. K. Stein and Brualdi conjectured that, when
Latin_square
problem. H. J. Ryser conjectured (Oberwolfach, 1967) that every Latin square of odd order has one. Closely related is the conjecture, attributed to Richard
Problems_in_Latin_squares
Polynomial of the elements of a matrix
by the matrix for which all entries are equal to 1/n. Proofs of this conjecture were published in 1980 by B. Gyires and in 1981 by G. P. Egorychev and
Permanent_(mathematics)
Mathematical game
Narins, Lothar; Szabó, Tibor (2018-08-01). "Extremal hypergraphs for Ryser's Conjecture". Journal of Combinatorial Theory, Series A. 158: 492–547. doi:10
Meshulam's_game
1007/s004930170006. ISSN 1439-6912. S2CID 207006642. Aharoni, Ron (2001-01-01). "Ryser's Conjecture for Tripartite 3-Graphs". Combinatorica. 21 (1): 1–4. doi:10.1007/s004930170001
Width_of_a_hypergraph
\tau (H)=r-1} . Therefore, the TPP is an extremal hypergraph for Ryser's conjecture. The minimum fractional vertex-cover size of the TPP is r-1 too: assigning
Truncated_projective_plane
Alexey; Sudakov, Benny; Yepremyan, Liana (2022-04-15). "New bounds for Ryser's conjecture and related problems". Transactions of the American Mathematical Society
Packing_in_a_hypergraph
Israeli mathematician
the first open case (that of 3-uniform hypergraphs) of a famous conjecture by Ryser: in a 3-partite hypergraph the ratio between the covering number
Ron_Aharoni
Type of square matrix
for larger n {\displaystyle n} this is not the case. Van der Waerden's conjecture that the minimum permanent among all n × n doubly stochastic matrices
Doubly_stochastic_matrix
consequence of the Bregman–Minc inequality is a proof of the following conjecture of Herbert Ryser from 1960. Let k {\displaystyle k} by a divisor of n {\displaystyle
Bregman–Minc_inequality
Overview of and topical guide to combinatorics
for your Mathematical Plays Persi Diaconis Ada Dietz Paul Erdős Erdős conjecture Philippe Flajolet Solomon Golomb Ron Graham Ben Green Tim Gowers Jeff
Outline_of_combinatorics
American mathematician and physics professor
Majumdar (1953), H. J. Ryser (1968), Frankl and Füredi (1981), and Frankl and Wilson (1981). Hunter finally proved his conjecture in 2003 Hunter made important
Hunter_Snevily
Mathematical problem
square exists and being unable to construct an order six square, he conjectured that none exist for any oddly even number n ≡ 2 (mod 4). The non-existence
Mutually orthogonal Latin squares
Mutually_orthogonal_Latin_squares
include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives and integrals in alternative
List_of_theorems
Gene known for its role in breast cancer
mutation carriers choose to have prophylactic surgery. There has been much conjecture to explain such apparently striking tissue specificity. Major determinants
BRCA2
Ordering of binary values, used for positioning and error correction
coroutines. Monotonic codes have an interesting connection to the Lovász conjecture, which states that every connected vertex-transitive graph contains a
Gray_code
Mathematical weight device
which are conjectured not to exist unless their order is less than 5. This conjecture, the circulant Hadamard conjecture first raised by Ryser, is known
Weighing_matrix
List of terms created from a person's name
Bordigism Armand Borel, French mathematician – Borel–Weil–Bott theorem, Borel conjecture, Borel fixed-point theorem, Borel's theorem Émile Borel, French mathematician
List_of_eponyms_(A–K)
Geometric concept of a 2D space with "points at infinity" adjoined
Bagchi, Bhaskar (2019), "A coding theoretic approach to the uniqueness conjecture for projective planes of prime order", Designs, Codes and Cryptography
Projective_plane
3-satisfiability Bracelet (combinatorics) Bruck–Chowla–Ryser theorem Catalan number Cellular automaton Collatz conjecture Combination Combinatorial design Combinatorial
Index of combinatorics articles
Index_of_combinatorics_articles
Landau–Ramanujan constant, Ramanujan–Soldner constant, Ramanujan–Petersson conjecture, Rogers–Ramanujan identities, Hardy–Ramanujan number. John Rambo, American
List_of_eponyms_(L–Z)
Symmetric arrangement of finite sets
simple to prove that a solution exists if q is a prime power. It is conjectured that these are the only solutions. It has been further shown that if
Combinatorial_design
Term in combinatorics
{\displaystyle t} is called a numerical or Hall multiplier. It has been conjectured that if p is a prime dividing k − λ {\displaystyle k-\lambda } and not
Difference_set
square deviation (bioinformatics) Root mean square fluctuation Ross's conjecture Rossmo's formula Rothamsted Experimental Station Round robin test Rubin
List_of_statistics_articles
Geometric system with a finite number of points
geometry is: Is the order of a finite plane always a prime power? This is conjectured to be true. Affine and projective planes of order n exist whenever n
Finite_geometry
RYSERS CONJECTURE
RYSERS CONJECTURE
Boy/Male
Shakespearean
King Henry the Sixth, Part III' Lord Rivers, brother to Lady Grey. 'King Richard III' Earl...
Boy/Male
English American
Knight.
Surname or Lastname
English (mainly Yorkshire)
English (mainly Yorkshire) : patronymic from Mayer 1, i.e. ‘son of the mayor’.English : patronymic from mire ‘physician’ (see Myer 1).Irish : Anglicized form of Gaelic Ó Midhir, probably a variant of Ó Meidhir ‘mayor’ (see Mayer 1).
Surname or Lastname
English
English : derivative of Ayer. The -s most probably represents a trace of the Latin nominative singular in heres ‘heir’, but it may also signify the son or servant of someone known as ‘the heir’, i.e. someone who was heir to some great estate.
Surname or Lastname
English
English : from Middle English sire, sier ‘master’ (Old French sire), hence a status name for the master of a household or group of apprentices, or a nickname for an elderly man or perhaps a pompous or domineering person.
Surname or Lastname
English
English : variant spelling of Rimer 1.German : variant of Riemer.German : habitational name for someone from Riem (now a suburb of Munich; formerly a separate town).
Boy/Male
Dutch American
Commander Ryker from the TV show Star Trek: The Next Generation.
Surname or Lastname
English
English : variant of Ryle.
Boy/Male
British, English, German
Bright Fame
Surname or Lastname
English
English : variant of Brier.German : Americanized form of Breuer.
Surname or Lastname
English
English : variant of Roberts.
Surname or Lastname
English
English : variant of Wire.
Surname or Lastname
English
English : unexplained.Variant of Dutch Hiers.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of various places in northern France called Rivières, from the plural form of Old French rivière ‘river’ (originally meaning ‘riverbank’, from Latin riparia). The absence of English forms without the final -s makes it unlikely that it is ever from the borrowed Middle English vocabulary word river, but the French and other Romance cognates do normally have this sense.Common Americanized form of French Larivière. ire.
Surname or Lastname
German
German : topographic name for someone who lived at a place where wild roses grew (see Rose 1), with the suffix -er denoting an inhabitant.German (Röser) : habitational name from places called Rös, Roes, or Rösa in Bavaria, Rhineland, and Saxony, or a variant of Rosser.Swiss German (Röser) : from a short form of a Germanic personal name based on hrÅd ‘renown’.English : unexplained.
Surname or Lastname
English
English : patronymic from the personal name Roger.Thomas Rogers (c.1587–1621), born in London, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He died during the first winter at Plymouth Colony, but his son Joseph survived and married, and was later joined in MA by his brother John. This name was subsequently brought to North America independently by many different bearers.
Boy/Male
American, Australian, Chinese, French, German
Famous Spear; Renowned Spear-man
Surname or Lastname
English and Irish
English and Irish : variant spelling of Rider.Dutch : occupational name for a mounted warrior or messenger, Middle Dutch rider.
Boy/Male
American, British, English, Portuguese
Heir to a Fortune
Girl/Female
British, English, Newzealand
Famous Spear
RYSERS CONJECTURE
RYSERS CONJECTURE
Boy/Male
Arabic, Muslim
Gift of the Merciful / Allah
Girl/Female
Hindu
Prayer, Request, Humility
Girl/Female
Christian & English(British/American/Australian)
Wise
Girl/Female
English
From Denmark. Also a.
Boy/Male
Australian, Dutch, French, German, Netherlands
The People's Ruler
Girl/Female
Egyptian American Muslim
Righteous.
Boy/Male
Hawaiian
Educated.
Boy/Male
Slavic
Warrior. Famous Bearers: monster movie actor Boris Karloff and Russian president Boris Yeltsin.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Krishna
RYSERS CONJECTURE
RYSERS CONJECTURE
RYSERS CONJECTURE
RYSERS CONJECTURE
RYSERS CONJECTURE
n.
A bed of roses, or place where roses grow.
n.
A place where roses are cultivated; a nursery of roses. See Rosary, 1.
a.
Situated between rivers.
n.
One who refers.
n.
Honey of roses.
n.
One who feeds on oysters.
n.
A clause added to a document; a rider. See Rider.
a.
Producing oysters; containing oysters.
n.
Gathering, or dredging for, oysters.
a.
Scurvy; paltry; as, scald rhymers.
a.
Decorated with roses, or with the color of roses.
n.
Fig.: A large stream; copious flow; abundance; as, rivers of blood; rivers of oil.
n.
Government by many rulers; polyarchy.
n.
The artificial cultivation of oysters.
n.
A gold coin of Zealand [Netherlands] equal to 14 florins, about $ 5.60.
n.
One who rises; as, an early riser.
n.
A rosier; a rosebush.
n.
A scientific account or discussion of rivers; a treatise on rivers; potamography.
pl.
of Nisey
n.
An artificial bed of oysters.