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Complete bipartite graphs deleted in Ramsey graphs
Theoretical Computer Science, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yan, Li, Yusheng, Wang, Ye
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Unavoidable induced subgraphs in graphs with complete bipartite induced minors
SIAM Journal on Discrete MathematicsWe prove that if a graph contains the complete bipartite graph $K_{134, 12}$ as an induced minor, then it contains a cycle of length at most~12 or a theta as an induced subgraph.
Maria Chudnovsky +4 more
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Rotation numers for complete bipartite graphs
Journal of Graph Theory, 1991AbstractA rooted graph is a pair (G, x) where G is a simple undirected graph and x ϵ V(G). If G if rooted at x, then its rotation number h(G, x) is teh minimum number of edges in a graph F, of the same order as G, such that for all v ϵ V(F) we can find a copy of G in F with the root x at v.
Haviland, Julie, Thomason, Andrew
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Complete graphs and complete bipartite graphs without rainbow path
Discrete Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xihe Li, Ligong Wang, Xiangxiang Liu
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Pagenumber of complete bipartite graphs
Journal of Graph Theory, 1988AbstractGiven an ordering of the vertices of a graph around a circle, a page is a collection of edges forming noncrossing chords. A book embedding is a circular permutation of the vertices together with a partition of the edges into pages. Thepagenumber t(G)(also called book thickness) is the minimum number of pages in a book embedding of G. We present
Muder, Douglas J. +2 more
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Internally disjoint trees in the line graph and total graph of the complete bipartite graph
Applied Mathematics and Computation, 2022Shu-Li Zhao, Rongxia Hao, Chao Wei
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THE TOTAL IRREGULARITY STRENGTH OF COMPLETE GRAPHS AND COMPLETE BIPARTITE GRAPHS
Far East Journal of Mathematical Sciences (FJMS), 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tilukay, M. I. +3 more
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EFX Allocations and Orientations on Bipartite Multi-graphs: A Complete Picture
Adaptive Agents and Multi-Agent SystemsWe consider the fundamental problem of fairly allocating a set of indivisible items among agents having valuations that are represented by a multi-graph -- here, agents appear as the vertices and items as the edges between them and each vertex (agent ...
Mahyar Afshinmehr +4 more
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Cospectrality of complete bipartite graphs
Linear and Multilinear Algebra, 2016Richard Brualdi proposed in [Research problems from the Aveiro workshop on graph spectra, Linear Algebra Appl. 2007;423:172–181] the following problem: (Problem AWGS.4) Let and be two non-isomorphic graphs on n vertices with spectrarespectively. Define the distance between the spectra of and asDefine the cospectrality of byLetProblem AInvestigate for ...
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