On the anti-ramsey number of forests
WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebThe anti-Ramsey problem was introduced by Erdös, Simonovits, and Sós in 1970s. The anti-Ramsey number of a hypergraph H, ar(n,s, H), is the smallest integer c such that in any coloring of the edges of the s-uniform complete hypergraph on n vertices with exactly c colors, there is a copy of H whose edges have distinct colors. In this paper, we determine …
On the anti-ramsey number of forests
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Web11 de mar. de 2024 · The anti-Ramsey number of a graph G in a complete graph K n, denoted by a r (K n, G), is the maximum number of colors in an edge-coloring of K n with … Web1 de out. de 2024 · The study of anti-Ramsey number a r ( G , H ) was initiated by Erdőos et al. in 1973 for G ≅ K n, which is close related to Turan number. • Give an algorithm to obtain the upper bound or lower bound of anti-Ramsey numbers. • Determine the exact anti-Ramsey numbers for cycles C 5 and C 6 in the generalized Petersen graphs, …
Web1 de fev. de 2024 · PDF We determine the anti-Ramsey numbers for paths. This confirms a conjecture posed by Erdős, Simonovits and Sós in 1970s. Find, read and cite all the … Web1 de nov. de 2024 · Gorgol [13] considered the anti-Ramsey number of C 3 in complete split graphs and proved the following result. Theorem 3. ([13]) For n ≥ 2, s ≥ 1, ar ( K n + K s ‾, C 3) = n + s − 1. They also gave a lower bound and an upper bound for ar ( K n + K s ‾, C 4) and conjectured that the exact value is closer to the lower bound.
Web17 de mar. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …
Webfor star forests and the approximate value of the anti-Ramsey number for linear forests. Furthermore, we compute the exact value of ar(K n,2P4) for n ≥ 8 and ar(K n,S p,q) for large n, where S p,q is the double star with p+q leaves. Keywords: Anti-Ramsey number, star forest, linear forest, double star. 1. Introduction Let G be a simple ...
Web23 de dez. de 2024 · The anti-Ramsey numbers of C3 and C4 in complete r-partite graphs. Discrete Mathematics 2024-11 Journal article DOI: 10. ... On the anti-Ramsey number of forests. Discrete Applied Mathematics 2024-03 Journal article DOI: 10.1016/j.dam.2024.08.027 Contributors ... siding companies dayton ohioWebThe anti-Ramsey problem was introduced by Erdös, Simonovits, and Sós in 1970s. The anti-Ramsey number of a hypergraph H, ar(n,s, H), is the smallest integer c such that in … siding companies in brantfordWeb1 de fev. de 2024 · PDF We determine the anti-Ramsey numbers for paths. This confirms a conjecture posed by Erdős, Simonovits and Sós in 1970s. Find, read and cite all the research you need on ResearchGate siding colors with beige trimWebdetermines the precise value of the degree anti-Ramsey number of every forest. Theorem 1.3. Let F be a forest. Then ARd(F) = e(F) − 1, unless F is a star of any size or a matching withpreciselytwoedges,inwhichcaseARd(F) = e(F). Finally, we study degree anti-Ramsey numbers of cycles. It readily follows from (3) and Corol- siding companies in kcWebAnti-Ramsey numbers were introduced by Erd˝os et al. in [5], and showed to be connected not so much to Ramsey theory than to Tur´an numbers. In particular, it was ... Clearly, Ω1 is just the family of forests. In this paper, we consider the anti-Ramsey numbers for … siding colors with grey roofWeb1 de mai. de 1974 · Abstract. For a graph G, the Ramsey number r ( G) is the smallest natural number p such that given a graph H with p points. H or H̄ contains a G. An ( n,j )-linear forest L is the disjoint union of nontrivial paths, j of which have an odd number of points, and such that the union has n points. If L is an ( n,j )-linear forest, then we show … siding companies in slocomb alWeb20 de nov. de 2024 · The graphs considered here are finite and have no loops or multiple edges. In particular, K m denotes the complete graph on m vertices. For any graph G, V(G) and E(G) denote, respectively, the vertex and edge sets of G. A forest is a graph which has no cycles and a tree is a connected forest. The reader is referred to [1] or [4] for the … the polish center franklin