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Matematicheskie Zametki, 1998, Volume 63, Issue 3, Pages 407–413
DOI: https://doi.org/10.4213/mzm1296 (Mi mzm1296) 		 
This article is cited in 6 scientific papers (total in 7 papers)

On a class of graphs without 3-stars

A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (355 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm1296
Abstract: M. Numata described edge regular graphs without 3-stars. All $\mu$-subgraphs of these graphs are regular of the same valency. We prove that a connected graph without 3-stars all of whose $\mu$- subgraphs are regular of valency $\alpha>0$ is either a triangular graph, or the Shläfli graph, or the icosahedron graph.
Received: 18.04.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 3, Pages 357–362
DOI: https://doi.org/10.1007/BF02317782
Bibliographic databases:
UDC: 519.14
Language: Russian
Citation: A. A. Makhnev, “On a class of graphs without 3-stars”, Mat. Zametki, 63:3 (1998), 407–413; Math. Notes, 63:3 (1998), 357–362
Citation in format AMSBIB
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\paper On a class of graphs without 3-stars
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\jour Math. Notes
\yr 1998
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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