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Mathematical Problems in Engineering
Article . 2020 . Peer-reviewed
License: CC BY
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Mathematical Problems in Engineering
Article
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Article . 2020
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Anti-Ramsey Numbers in Complete k-Partite Graphs

Anti-Ramsey numbers in complete \(k\)-partite graphs
Authors: Jili Ding; Hong Bian; Haizheng Yu;

Anti-Ramsey Numbers in Complete k-Partite Graphs

Abstract

The anti-Ramsey number ARG,H is the maximum number of colors in an edge-coloring of G such that G contains no rainbow subgraphs isomorphic to H. In this paper, we discuss the anti-Ramsey numbers ARKp1,p2,…,pk,Tn, ARKp1,p2,…,pk,ℳ, and ARKp1,p2,…,pk,C of Kp1,p2,…,pk, where Tn,ℳ, and C denote the family of all spanning trees, the family of all perfect matchings, and the family of all Hamilton cycles in Kp1,p2,…,pk, respectively.

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Keywords

Coloring of graphs and hypergraphs, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Generalized Ramsey theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold