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Matematicheskie Zametki, 2003, Volume 74, Issue 3, Pages 396–406
DOI: https://doi.org/10.4213/mzm273 (Mi mzm273) 		 
This article is cited in 9 scientific papers (total in 10 papers)

On Crown-Free Graphs with Regular $\mu$-Subgraphs, II

V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (222 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm273
Abstract: The crown is the complete multipartite graph $K_{1,1,3}$. Terwilliger graphs without crowns and graphs without 3-cocliques with regular $\mu$-subgraphs of given positive degree are studied. As a corollary, the local structure of graphs in which the neighborhoods of vertices are regular Terwilliger graphs of diameter 2 and some of these neighborhoods contain no 7-paws is determined. Connected crown-free graphs in which $\mu$-subgraphs are edge regular graphs of diameter not exceeding 2 with given parameters are described.
Received: 25.03.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 3, Pages 375–384
DOI: https://doi.org/10.1023/A:1026158819378
Bibliographic databases:
UDC: 519.14
Language: Russian
Citation: V. V. Kabanov, A. A. Makhnev, D. V. Paduchikh, “On Crown-Free Graphs with Regular $\mu$-Subgraphs, II”, Mat. Zametki, 74:3 (2003), 396–406; Math. Notes, 74:3 (2003), 375–384
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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