A remark on eigen values of signed graph

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Abstract

In this paper we present some results using eigen values of signed graph. This precipitate to find the determinant of signed graph using the number of vertices.

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  • R. P. Abelson and M. J. Rosenberg Symbolic psychologic:A model of attitudinal cognition Behav. Sci. 3 (1958) 1-13.

  • T. Zaslavsky signed graphs Discrete Appl. Math. 4(1)(1982) 47-74.

  • T. Zaslavsky A mathematical bibliography of signed and gain graphs and its allied areas Electronic J. Combin. 8(1)(1998) Dynamic Surveys (1999) No. DS8.

  • F. Harary Graph Theory Addison-Wesley Publishing Co. 1969.

  • D. W. Cartwright and F. Harary Structural balance: A generalization of Heider’s Theory Psych. Rev. 63(1956) 277-293.

  • G. T. Chartrand Graphs as Mathematical Models Prindle Weber & Schmidt Inc. Boston Massachusetts 1977.

  • F. Harary R. Z. Norman and D. W. Cartwright Structural models: An introduction to the theory of directed graphs Wiley Inter-Science Inc. New York 1965.

  • O. Katai and S. Iwai Studies on the balancing the minimal balancing and the minimum balancing processes for social groups with planar and nonplanar graph structures J. Math. Psychol. 18(1978) 140-176.

  • F. S. Roberts Graph Theory and its Applications to Problems of Society SIAM Philadelphia PA USA 1978.

  • F. S. Roberts and Shaoji Xu Characterizations of consistent marked graphs Discrete Applied Mathematics 127(2003) 357-371.

  • F. Harary On the notion of balance of a signed graph Michigan Math. J. 2(1953) 143-146.

  • E. Sampathkumar Point signed and line signed graphs Nat. Acad. Sci. Letters 7(3) (1984) 91-93.

  • P. Siva Kota Reddy B. Prashanth and Kavitha. S.Permi A note on antipodal signed graphs International J. Math. Combin. 1(2011)107-112.

  • Y. Hou J. Li and Y. Pan (2003) On the Laplacian Eigenvalues of signed graphs Linear and Multilinear Algebra51:1 21-30 DOI:10.1080/0308108031000053611

  • F. Belardo S. K. Simič On the Laplacian coefficients of signed graphs Linear Algebra and Its Applications 475(2015)94-113

  • F. Harary and J.A. Kabell Counting balanced signed graphs using marked graphs Proc. Edinburgh Math. Soc. 24 (2)(1981)99-104.

  • T. Zaslavsky (1982). signed graphs. Discrete Appl. Math. 4 4774.

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