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Matematicheskie Zametki, 2007, Volume 82, Issue 1, Pages 14–26
DOI: https://doi.org/10.4213/mzm3749 (Mi mzm3749) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Terwilliger Graphs with $\mu\le3$

A. L. Gavrilyuk, A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (484 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm3749
Abstract: A Terwilliger graph is a noncomplete graph in which intersection of the neighborhoods of any two vertices at distance 2 from each other is a $\mu$-clique. We classify connected Terwilliger graphs with $\mu=3$ and describe the structure of Terwilliger graphs of diameter 2 with $\mu=2$.
Keywords: undirected graph, regular graph, biregular graph, Terwilliger graph, edge regular graph, clique extension, Fibonacci number, affine and projective plane.
Received: 22.05.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 1, Pages 13–24
DOI: https://doi.org/10.1134/S0001434607070036
Bibliographic databases:
UDC: 519.14
Language: Russian
Citation: A. L. Gavrilyuk, A. A. Makhnev, “Terwilliger Graphs with $\mu\le3$”, Mat. Zametki, 82:1 (2007), 14–26; Math. Notes, 82:1 (2007), 13–24
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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