논문KCI 등재
SKEW-ENERGY OF t-DUPLICATION GRAPH
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초록
Graph spectra provide much information about the structure of the graph. In this paper, we figure out the energy of a graph derived from simpler graphs by certain modifications. In the present work, we define t-duplication graph DtG and disclosed that the energy ε(DtG) =2√tε(G) and ε(DyGσ) = 2√tε(Gσ).
Abstract
Graph spectra provide much information about the structure of the graph. In this paper, we figure out the energy of a graph derived from simpler graphs by certain modifications. In the present work, we define t-duplication graph DtG and disclosed that the energy ε(DtG) =2√tε(G) and ε(DyGσ) = 2√tε(Gσ).
참고문헌 (10)
- C. Adiga, "The skew energy of a digraph", Linear Algebra Appl, 432, pp.1825~1835 (2010)
- I. Gutman, "The energy of a graph", Ber. Math. Statist. Sekt. Forschungsz. Graz, 103, pp.1~22 (1978)
- R. A. Horn, "Topics in Matrix Analysis" (1991), Cambridge Univ. Press
- V. Lokesha, "Skew-Zagreb energy of directed graphs", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(4), pp.557~568 (2020), 장전수학회
- V. Lokesha, "Energy and Skew energy of a modified Graph", Creat. Math. Inform, 30, pp.41~48 (2021)
- Samir K. Vaidya, "Some New Results on Energy of Graphs", MATCH Commun. Math. Comput. Chem, 77, pp.589~594 (2017)
- Samir K. Vaidya, "Energy of m-splitting m-shadow graphs", Far East Journal of Mathematical Sciences, 102, pp.1571~1578 (2017)
- E. Sampathkumar, "On duplicate graphs", Journal of the Indian Math. Soc, 37, pp.285~293 (1973)
- B. Shader, "Skew spectra of oriented graphs", The Electron. J. Combin, 16, pp.N32~ (2009)
- Shanthakumari. Y, "Skew-Harmonic and Skew-Sum Connectivity Energy of Some Digraphs", New Trends in Applied Analysis and Computational Mathematics, 1356, pp.287~300 (2021)
관련 논문AI추천
Energy 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 제3호Colored energy of a graphChandrashekar Adiga, E. Sampathkumar, M. A. Sriraj, Shrikanth A S장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호On skew-generalised energy of digraphsD. D. Somashekara, H. E. Ravi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호Average degree exponent sum energy of graphsM. Smitha, V. Lokesha, Y. Shanthakumari장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호Bounds and color energy of derived graphsGOWTHAM H. J., PRADEEP G. BHAT, SABITHA DSOUZA장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호Upper bounds for energy of a graphC. Adiga, R.K. Zaferani장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호
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