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Colored energy of a graph

M. A. Sriraj|E. Sampathkumar|Chandrashekar Adiga|Shrikanth A S
장전수학회 (Jangjeon Mathematical Society)|2013.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제16권 제3호|pp. 335-351|DOI 10.17777/pjms.2013.16.3.005

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참고문헌

키워드

Color eigenvaluescolor energy of a graphcomplement of the colored graphenergy of the complement colored graph.
주제분류수학

초록

In this paper, we introduce the concept of color energy of a graph, Ec(G) andcompute the color energy Ex(G) of few families of graphs with minimum number ofcolors. It depends on the underlying graph and colors on its vertices. We establishan upper bound and a lower bound for color energy. Also we introduce the conceptof complement of a colored graph and compute energies of complement of coloredgraphs of few families of graphs.

Abstract

In this paper, we introduce the concept of color energy of a graph, Ec(G) andcompute the color energy Ex(G) of few families of graphs with minimum number ofcolors. It depends on the underlying graph and colors on its vertices. We establishan upper bound and a lower bound for color energy. Also we introduce the conceptof complement of a colored graph and compute energies of complement of coloredgraphs of few families of graphs.

참고문헌 (20)

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관련 논문AI추천

COLOR LAPLACIAN ENERGY OF A GRAPHP. G. Bhat, S. D'souza장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호Bounds and color energy of derived graphsGOWTHAM H. J., PRADEEP G. BHAT, SABITHA DSOUZA장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호Energy of partial complements of a graphGOWTHAM H. J., PRADEEP G. BHAT, SABITHA DSOUZA, SWATI NAYAK장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호THE MINIMUM EQUITABLE DOMINATING COLOR ENERGY OF A GRAPHP. Rajendran, R. Rangarajan장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호Minimum Equitable Dominating Harary Energy of a GraphIsmail Naci CANGUL, K. N. PRAKASHA, PUSHPALATHA MAHALANK장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제1호Upper bounds for energy of a graphC. Adiga, R.K. Zaferani장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호

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