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Matematicheskie Zametki, 2009, Volume 85, Issue 5, Pages 758–767
DOI: https://doi.org/10.4213/mzm4743 (Mi mzm4743) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Graph Isomorphism and Equality of Simplices

V. Yu. Protasov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (473 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm4743
Abstract: We show that the graph isomorphism problem is equivalent to the problem of recognizing equal simplices in $\mathbb R^n$. This result can lead to new methods in the graph isomorphism problem based on geometrical properties of simplices. In particular, relations between several well-known classes of invariants of graphs and geometrical invariants of simplices are established.
Keywords: graph isomorphism, graph recognition, graph invariants, simplex invariants.
Received: 03.04.2008
Revised: 12.10.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 5, Pages 724–732
DOI: https://doi.org/10.1134/S0001434609050137
Bibliographic databases:
UDC: 519.175.1+512.643+514.114
Language: Russian
Citation: V. Yu. Protasov, “Graph Isomorphism and Equality of Simplices”, Mat. Zametki, 85:5 (2009), 758–767; Math. Notes, 85:5 (2009), 724–732
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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