In graph theory, Hedetniemi's conjecture, formulated by Stephen T. Hedetniemi in 1966, concerns the connection between graph coloring and the tensor product...
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List of unsolved problems in mathematics (category Conjectures)
Disproof of Hedetniemi's conjecture on the chromatic number of tensor products of graphs (Yaroslav Shitov, 2019) Kelmans–Seymour conjecture (Dawei He,...
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powers conjecture Ganea conjecture Generalized Smith conjecture Hauptvermutung Hedetniemi's conjecture, counterexample announced 2019 Hirsch conjecture (disproved...
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also does. Identifying multiplicative graphs lies at the heart of Hedetniemi's conjecture. Graph homomorphisms also form a category, with graphs as objects...
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ISBN 0-471-37039-8 Shitov, Yaroslav (May 2019), Counterexamples to Hedetniemi's conjecture, arXiv:1905.02167 Weichsel, Paul M. (1962), "The Kronecker product...
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{\displaystyle \chi (G\mathbin {\square } H)=\max\{\chi (G),\chi (H)\}.} The Hedetniemi conjecture states a related equality for the tensor product of graphs. The...
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5(1985), 247–256. The proof of El-Zahar and Norbert Sauer of the Hedetniemi's conjecture for 4-chromatic graphs. M. El-Zahar, N. W. Sauer: The chromatic...
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Four color theorem (redirect from Four-color conjecture)
beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem Books in Mathematics...
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number, but with countably chromatic direct product. That is, Hedetniemi's conjecture fails for infinite graphs. In a paper with Paul Erdős he proved...
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beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem Books in Mathematics...
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"Highly irregular", in Gera, Ralucca; Hedetniemi, Stephen; Larson, Craig (eds.), Graph Theory: Favorite Conjectures and Open Problems – 1, Problem Books...
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years", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems – 2, Problem Books in Mathematics...
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by the publication of a paper on eternal domination by Goddard, Hedetniemi & Hedetniemi (2005), which also introduced a variation on the problem called...
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years", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems – 2, Problem Books in Mathematics...
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beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem Books in Mathematics...
15 KB (1,845 words) - 02:56, 19 August 2024
nonblocker, can be found by a fixed-parameter algorithm on any graph. Vizing's conjecture - relates the domination number of a cartesian product of graphs to the...
31 KB (4,082 words) - 23:42, 29 April 2025
beyond", in Gera, Ralucca; Haynes, Teresa W.; Hedetniemi, Stephen T. (eds.), Graph Theory: Favorite Conjectures and Open Problems, II, Problem Books in Mathematics...
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and Spencer have a size that is nearly linear. This bound disproved a conjecture of Paul Erdős and Pál Turán that the size of such a set could be at most...
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vertex) has been considered with respect to the Aanderaa–Karp–Rosenberg conjecture on how many queries (subroutine calls) are needed to test whether a labeled...
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Bayer-Fluckiger (born 1951), Hungarian-Swiss mathematician, proved Serre's conjecture on Galois cohomology of classical groups Jillian Beardwood (1934–2019)...
196 KB (23,282 words) - 19:34, 18 May 2025