Results 91 to 100 of about 312 (179)

Forbidden subgraphs of coloring graphs

open access: yesInvolve, a Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alvarado, Francisco   +3 more
openaire   +3 more sources

Disjoint stars and forbidden subgraphs

open access: yesHiroshima Mathematical Journal, 2006
Let $r,k$ be integers with $r\ge 3, k\ge 2$. We prove that if $G$ is a $K_{1,r}$-free graph of order at least $(k-1)(2r-1)+1$ with $\delta(G)\ge 2$, then $G$ contains $k$ vertex-disjoint copies of $K_{1,2}$. This result is motivated by the problem of characterizing a forbidden subgraph $H$ which satisfies the statement "every $H$-free graph of ...
openaire   +2 more sources

DP-4-Colorability on Planar Graphs Excluding 7-Cycles Adjacent to 4- or 5-Cycles

open access: yesMathematics
In order to resolve Borodin’s Conjecture, DP-coloring was introduced in 2017 to extend the concept of list coloring. In previous works, it is proved that every planar graph without 7-cycles and butterflies is DP-4-colorable.
Fan Yang, Xiangwen Li, Ziwen Huang
doaj   +1 more source

Characterization and recognition of edge intersection graphs of 3-chromatic hypergraphs with multiplicity at most than two in the class of split graphs

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2018
Let Lm(k) denote the class of edge intersection graphs of k-chromatic hypergraphs with multiplicity at most m. It is known that the problem of recognizing graphs from L1(k) is polynomially solvable if k = 2 and is NP-complete if k = 3.
Tatiana V. Lubasheva, Yury M. Metelsky
doaj  

3-Colourability and Forbidden Subgraphs

open access: yesElectronic Notes in Discrete Mathematics, 2000
Abstract In this paper we investigate the chromatic aspects for graphs with forbidden induced subgraphs with emphasis on the question of 3-colourability. In the main part all possible pairs (A, B) of forbidden induced subgraphs, s.t. every A- and B -free graph is 3-colourable, are determined.
openaire   +1 more source

On 3-Coloring of ( 2 P 4 , C 5 )-Free Graphs. [PDF]

open access: yesAlgorithmica, 2022
Jelínek V   +4 more
europepmc   +1 more source

Fermat Principle, Ramsey Theory and Metamaterials. [PDF]

open access: yesMaterials (Basel), 2023
Frenkel M, Shoval S, Bormashenko E.
europepmc   +1 more source

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