On the Ramsey Numbers for Bipartite Multigraphs
A coloring of a complete bipartite graph is shuffle-preserved if it is the case that assigning a color $c$ to edges $(u, v)$ and $(u', v')$ enforces the same color assignment for edges $(u, v')$ and $(u',v)$. (In words, the induced subgraph with respect to color $c$ is complete.) In this paper, we investigate a variant of the Ramsey problem for the ...
Chen, Ming-Yang +2 more
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The Bipartite Ramsey Numbers B(C2M; C2N)
{"references": ["L. W. Beineke and A. J. Schwenk. On a bipartite form of the Ramsey\nproblem. Proc. 5th British Combin. Conf. 1975, Congressus Number.,\nXV: 17-22, 1975.", "W. A. Carnielli and E. L. Monte Carmelo. K2,2 \u2212 K1,n and K2,n \u2212 K2,n bipartite Ramsey numbers. Discrete Math., 223: 83-92, 2000.", "R. J. Faudree and R. H. Schelp.
Zhang, Rui, Yongqi Sun, And Yali Wu
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Some results on the multipartite Ramsey numbers m j (C 3,C m ,n 1 K 2,n 2 K 2,…,n i K 2). [PDF]
Rowshan Y, Gholami M, Shateyi S.
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Mono-multi bipartite Ramsey numbers, designs, and matrices
The mono-multi bipartite Ramsey number BRR\((G_1,G_2)\) is the smallest \(N\) such that any edge coloring of the complete bipartite graph \(K_{N,N}\) contains either a monochromatic \(G_1\) or a multicolored \(G_2\). The problem of finding the values of BRR\((G_1,G_2)\) is reformulated in terms of matrices for the case that \(G_1\) is a star and \(G_2\)
Balister, Paul N. +3 more
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Approximation bounds on maximum edge 2-coloring of dense graphs
For a graph $G$ and integer $q\geq 2$, an edge $q$-coloring of $G$ is an assignment of colors to edges of $G$, such that edges incident on a vertex span at most $q$ distinct colors.
Chandran, L. Sunil +3 more
core
Odd-Ramsey numbers of complete bipartite graphs
15 ...
Boyadzhiyska, Simona +3 more
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Integrating High throughput Sequencing into Survey Design Reveals Turnip Yellows Virus and Soybean Dwarf Virus in Pea (<i>Pisum Sativum</i>) in the United Kingdom. [PDF]
Fowkes AR +8 more
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Information theory: A foundation for complexity science. [PDF]
Golan A, Harte J.
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Distinct Origins and Transmission Pathways of <i>bla</i><sub>KPC</sub> <i>Enterobacterales</i> across Three U.S. States. [PDF]
Lapp Z +26 more
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
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