논문KCI 등재
Notions of balance in symmetric n-sigraphs
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An n−tuple (a₁, a₂, . . . , an) is symmetric (more pricisely palindromic), if ak = an−k+₁, 1 ≤ k ≤ n. A symmetric n-sigraph is an ordered pair Sn = (G, δ), where G = (V,E) is a graph called the underlying graph of Sn and δ : E → Hn is a function. In this paper, we obtain some results by introducing few notions of balance in symmetric n-sigraphs.
Abstract
An n−tuple (a₁, a₂, . . . , an) is symmetric (more pricisely palindromic), if ak = an−k+₁, 1 ≤ k ≤ n. A symmetric n-sigraph is an ordered pair Sn = (G, δ), where G = (V,E) is a graph called the underlying graph of Sn and δ : E → Hn is a function. In this paper, we obtain some results by introducing few notions of balance in symmetric n-sigraphs.
참고문헌 (9)
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- F. Harary, "on the notion of balance of a signed graph", Michigan Math. J, 2, pp.143~146 (1953)
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- E. Sampathkumar, "Point signed and line signed graphs", Nat. Acad.sci. letters, 7(3), pp.91~93 (1984)
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- T. Zaslavsky, "A Mathematical bibliography of signed and Gain graphs and its allied areas", Electronic J. Combinatorics, 8(1), pp.124~ (1998)
관련 논문AI추천
Jump symmetric n-sigraphsE. Sampathkumar, M. S. Subramanya, P. S. K. Reddy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2008 · 제11권 제1호The Triangular Line n-Sigraph of a Symmetric n-SigraphP. Siva Kota Reddy, S. Vijay, V. Lokesha장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호The Line n-sigraph of a Symmetric n-sigraph-VK. M. Nagaraja, M. C. Geetha, P.Siva Kota Reddy경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Switching equivalence in symmetric -sigraphsM. S. Subramanya, P. Siva Kota Reddy, R. Rangarajan장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호(3,d)-sigraph and its applicationsE. Sampathkumar, M. S. Subramanya, P. S. K. Reddy장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호The Line n-Sigraph of a Symmetric n-Sigraph-IIGurunath Rao Vaidya, P. Siva Kota Reddy, V. Lokesha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제3호
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