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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 231–234 (Mi timm1274)  
This article is cited in 2 scientific papers (total in 2 papers)

On $K_{1,3}$-free strictly Deza graphs

A. V. Mityanina

Chelyabinsk State University
Full-text PDF (113 kB) Citations (2)
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Abstract: A Deza graph with parameters $(v,k,b,a)$ is a $k$-regular graph with $v$ vertices where any two vertices have either $a$ or $b$ common neighbors. We describe strict Deza graphs that do not contain $K_{1,3}$ among their induced subgraphs and are unions of closed neighborhoods of two nonadjacent vertices. The latter condition means that there are two nonadjacent vertices such that any other vertex is adjacent to at least one of them.
Keywords: $K_{1,3}$-free graphs, strictly Deza graphs.
Received: 05.12.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 159–162
DOI: https://doi.org/10.1134/S0081543817050169
Bibliographic databases:
Document Type: Article
UDC: 519.172.4
Language: Russian
Citation: A. V. Mityanina, “On $K_{1,3}$-free strictly Deza graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 231–234; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 159–162
Citation in format AMSBIB
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\pages 231--234
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 297
\issue , suppl. 1
\pages 159--162
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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