Jun 13, 2016 · Steinberg (Ann Discret Math 55:211–248, 1993) conjectured that every planar graph without 4- and 5-cycles is 3-colorable. Xu and Wang (Sci Math ...
Every planar graph without 3-cycles adjacent to 4-cycles and without 6 ...
dl.acm.org › doi › 10.1007
May 1, 2017 · In this paper, we prove that every planar graph without 3-cycles adjacent to 4-cycles and without 6-cycles is (1, 1, 0)-colorable, which ...
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In this paper, we prove that every planar graph without 3-cycles adjacent to 4-cycles and without 6-cycles is (1, 1, 0)-colorable, which improves the result of ...
Every planar graph without 3-cycles adjacent to 4-cycles and without 6-cycles is (1, 1, 0) -colorable · Journal of Combinatorial Optimization 33(4): 1354-1364.
The well-known Steinberg's conjecture states that every planar graph without cycles of length 4 or 5 is 3-colorable. As this conjecture being disproved by Cohen ...
Jan 1, 2020 · The well-known Steinberg's conjecture states that every planar graph without cycles of length 4 or 5 is 3-colorable. As this conjecture ...
Dec 15, 2021 · In this paper, we prove that all planar graphs without 4-cycles and intersecting triangles are ( 1 , 1 , 0 ) -colorable.
Abstract. We study Steinberg's Conjecture. A graph is (c1,c2, ··· ,ck)-colorable if the vertex set can be partitioned into k sets V1,V2,...,Vk, ...
May 18, 2024 · I'm trying to prove that every planar graph with no cycles of length 3,4,5 is 3-colorable. However, I have no opportunity to receive any validation or ...
For each k ∈ {5, 6}, Liu, Li, Nakprast, Sittitrai, Yu [13] proved that every planar graph without 3-cycles adjacent to k-cycles is DP-4-colorable; Chen, Liu, ...