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Axioms
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Axioms
Article . 2023
Data sources: DOAJ
DBLP
Article . 2023
Data sources: DBLP
Multidisciplinary Digital Publishing Institute
Other literature type . 2023
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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Graphs with Strong Proper Connection Numbers and Large Cliques

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 03 Apr 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 353 (eissn: 2075-1680, Copyright policy )
Authors: Yingbin Ma; Xiaoxue Zhang; Yanfeng Xue;

doi: 10.3390/axioms12040353

Graphs with Strong Proper Connection Numbers and Large Cliques

Abstract

In this paper, we mainly investigate graphs with a small (strong) proper connection number and a large clique number. First, we discuss the (strong) proper connection number of a graph G of order n and ω(G)=n−i for 1⩽i⩽3. Next, we investigate the rainbow connection number of a graph G of order n, diam(G)≥3 and ω(G)=n−i for 2⩽i⩽3.

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Keywords

rainbow connection number, strong proper connection number, QA1-939, edge-coloring, proper connection number, clique number, Mathematics

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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!
0
Average
Average
Average
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