Bipartite Ramsey numberRandom graphSzemeredi’s regularity lemmaGraphs and Combinatorics - For graphs G and H, let $$G\\xrightarrow {k}H$$ signify that any k-edge coloring of G contains a monochromatic H as a subgraph. Let $$\\mathcal{G}(K_2(N),p)$$ be random......
Ramsey numbers of several Kt,s and a large Km,n Discrete Math. (2022) Z. Xu et al. A note on multicolor Ramsey number of small odd cycles versus a large clique Discrete Math. (2022) X. Zhang et al. On three color Ramsey numbers R(C4,C4,K1,n) Discrete Math. (2019)View more ...
Finding Long Cycles in Balanced Tripartite Graphs: A First Step Chapter © 2021 References Alm, J.F., Hommowun, N., Schneider, A.: Mixed, multi-color, and bipartite Ramsey numbers involving trees of small diameter. arXiv:1403.0273 (preprint) Christou, M., Iliopoulos, C.S., Miller, M...
Long cycles in bipartite graphs 1985, Journal of Combinatorial Theory, Series B Show abstract Exact bipartite Turán numbers of large even cycles 2021, Journal of Graph Theory On Star–Wheel Ramsey Numbers 2016, Graphs and Combinatorics An extremal problem for paths in bipartite graphs 1984, Journal...
Tree-path size bipartite Ramsey numbers 来自 ResearchGate 喜欢 0 阅读量: 32 作者: S Sy 摘要: Summary: For graphs $G_1$ and $G_2$ the size bipartite Ramsey number $m_2(G_1, G_2)$ is the least natural number $t$ such that any red-blue coloring on the edges of $K_{j ...
Multicolored Bipartite Ramsey Numbers of Large Cycles (H1,H2,…,Hr)is the minimum integer N such that any r-edge coloring of the complete bipartite graph KN;N contains a monochromatic subgraph isomorphic ... SQ Liu,YJ Peng - 《Acta Mathematicae Applicatae Sinica》 被引量: 0发表: 2024年 C...
Bipartite anti-Ramsey numbers of cycles. Axenovich, Maria,Jiang, Tao,Kündgen, André. Journal of Geography . 2004M. Axenovich,T. Jiang,A. Kiindgen.Bipartite Anti-Ramsey Numbers of Cycles. Journal of Graph Theory . 2004Axenovich M, Jiang T, Kündgen A (2004) Bipartite anti-Ramsey ...
path Ramsey numberThe k ‐color bipartite Ramsey number of a bipartite graph H is the least integer n for which every k ‐edge‐colored complete bipartite graph K n , n contains a monochromatic copy of H . The study of bipartite Ramsey numbers was initiated, over 40 years ago, by ...
path Ramsey numberThe k-color bipartite Ramsey number of a bipartite graph H is the least integer n for which every k-edge-colored complete bipartite graph Kn, n contains a monochromatic copy of H. The study of bipartite Ramsey numbers was initiated, over 40 years ago, by Faudree and Sc...
So determining the Ramsey number of connected matchings is crucial in determining the Ramsey number of cycles. Let k,l,m be integers and r(k,l,m) be the minimum integer N such that for any red‐blue‐green coloring of KN,N, there is a red matching of size at least k in a...