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Complete bipartite graphs deleted in Ramsey graphs

Theoretical Computer Science, 2020
zbMATH 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 Mathematics
We 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
semanticscholar   +1 more source

Rotation numers for complete bipartite graphs

Journal of Graph Theory, 1991
AbstractA 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, 2019
zbMATH 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, 1988
AbstractGiven 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, 2022
Shu-Li Zhao, Rongxia Hao, Chao Wei
semanticscholar   +1 more source

THE TOTAL IRREGULARITY STRENGTH OF COMPLETE GRAPHS AND COMPLETE BIPARTITE GRAPHS

Far East Journal of Mathematical Sciences (FJMS), 2017
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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 Systems
We 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
semanticscholar   +1 more source

Cospectrality of complete bipartite graphs

Linear and Multilinear Algebra, 2016
Richard 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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