Results 91 to 100 of about 312 (179)
Forbidden subgraphs of coloring graphs
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Alvarado, Francisco +3 more
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Disjoint stars and forbidden subgraphs
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
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
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
Does novel food differ in cultural contexts? A comparative analysis of Japanese and Singaporean cultural acceptance through text analysis of mass media. [PDF]
Matsuoka H +3 more
europepmc +1 more source
Hybrid Optimization Algorithm Based on Double Particle Swarm in 3D NoC Mapping. [PDF]
Fang J, Cai H, Lv X.
europepmc +1 more source
3-Colourability and Forbidden Subgraphs
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]
Jelínek V +4 more
europepmc +1 more source
Fermat Principle, Ramsey Theory and Metamaterials. [PDF]
Frenkel M, Shoval S, Bormashenko E.
europepmc +1 more source

