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D-Spectrum and Denergy of Complements of Iterated Line Graphs of Regular Graphs
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نویسنده
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Indulal Gopalapillai
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منبع
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Journal Of Algebraic Structures And Their Applications - 2017 - دوره : 4 - شماره : 1 - صفحه:53 -58
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چکیده
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The deigenvalues {µ1,…,µp} of a graph g are the eigenvalues of its distance matrix d and form its dspectrum. the denergy, ed(g) of g is given by ed (g) =∑i=1p |µi|. two non cospectral graphs with respect to d are said to be dequi energetic if they have the same denergy. in this paper we show that if g is an rregular graph on p vertices with 2r ≤ p 1, then the complements of iterated line graphs of g are of diameter 2 and that ed(overline{lk(g)}), k≥2 depends only on p and r. this result leads to the construction of regular dequi energetic pair of graphs.
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کلیدواژه
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Distance Spectrum ,Distance Energy ,Line Graphs
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آدرس
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St.Aloysius College, Department Of Mathematics, India
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پست الکترونیکی
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indulalgopal@gmail.com
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Authors
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