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NON-NORMAL GRAPHS OF FINITE GROUPS

M. FARROKHI D. G.

Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

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A. ERFANIAN

Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

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, and

B. TOLUE

Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

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https://doi.org/10.1142/S0219498812501939Cited by:3 (Source: Crossref)

Abstract

Let G be a finite group and H be a subgroup of G. We introduce the non-normal graph of H in G, denoted by _H,G, and give some of the graph theoretical properties of _H,G.

Keywords:

AMSC: Primary 05C25, Secondary 20P05

References

A. Abdollahi , J. Algebra 318 , 680 ( 2007 ) . Web of Science, Google Scholar
A. Abdollahi , S. Akbari and H. R. Maimani , J. Algebra 298 , 468 ( 2006 ) . Web of Science, Google Scholar
A. Abdollahi and A. Mohammadi Hassanabadi , Comm. Algebra 35 , 2057 ( 2007 ) . Web of Science, Google Scholar
J. A. Bondy and J. S. R. Murty , Graph Theory with Applications ( Elsevier , 1977 ) . Google Scholar
R. Brandl and M. Deaconescu, Math. Nachr. 163(1), 65 (1993). Web of Science, Google Scholar
M. Bruckheimer, A. C. Bryan and A. Muir, Amer. Math. Monthly 77(1), 52 (1970). Web of Science, Google Scholar
M. Farrokhi, D. G. and F. Saeedi, J. Algebra Appl. 11(4), 8 (2012). Link, Web of Science, Google Scholar
A. R. Moghaddamfaret al., Siberian Math. J. 46(2), 325 (2005). Web of Science, Google Scholar
B. H. Neumann, J. Aust. Math. Soc. Ser. A 21(4), 467 (1976). Google Scholar
F. Saeedi et al. , Arch. Math. 96 , 215 ( 2011 ) . Web of Science, Google Scholar
G. Scorza , Boll. Un. Mat. Ital. 5 , 216 ( 1926 ) . Google Scholar