본문 바로가기
KERD
논문KCI 등재

On the Seidel Laplacian and Seidel Signless Laplacian Polynomials of Graphs

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We express the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of a graph in terms of the Seidel polynomials of induced subgraphs. Further, we determine the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of the join of regular graphs.

Abstract

We express the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of a graph in terms of the Seidel polynomials of induced subgraphs. Further, we determine the Seidel Laplacian polynomial and Seidel signless Laplacian polynomial of the join of regular graphs.

참고문헌 (16)

  1. S. Akbari, "Proof of a conjecture on the Seidel energy of graphs", European J. Combin, 86, pp.103078~ (2020)
  2. A. E. Brouwer, "Spectra of graphs" (2012), Springer
  3. D. Cvetkovi´c, "Spectra of graphs : theory and application" (1980), Academic Press
  4. E. Ghorbani, "On eigenvalues of Seidel matrices and Haemers conjecture", Des. Codes Cryptogr, 84(1-2), pp.189~195 (2017)
  5. I. Gutman, "The energy of a graph", Ber. Math. Stat. Sekt. Forschungsz. Graz, 103, pp.1~22 (1978)
  6. W. H. Haemers, "Seidel switching and graph energy", MATCH Commun. Math. Comput. Chem, 68(3), pp.653~659 (2012)
  7. P. Nageswari, "Seidel energy and its bounds", Int. J. Math. Anal, 8(57), pp.2869~2871 (2014)
  8. X. Li, "Graph energy" (2012), Springer
  9. M. R. Oboudi, "Energy and Seidel energy of graphs", MATCH Commun. Math. Comput. Chem, 75(2), pp.291~303 (2016)
  10. H. S. Ramane, "Signless Laplacian polynomial and characteristic polynomial of a graph", J. Discr. Math, pp.4~ (2013)
  11. H. S. Ramane, "Seidel equienergetic graphs", Bull. Math. Sci. Appl, 16, pp.62~69 (2016)
  12. H. S. Ramane, "Seidel energy of iterated line graphs of regular graphs", Kragujevac J. Math, 39(1), pp.7~12 (2015)
  13. H. S. Ramane, "Seidel signless Laplacian energy of graphs", Math. Interdisc. Res, 2, pp.181~191 (2017)
  14. H. S. Ramane, "Seidel Laplacian energy of graphs", Int. J. Appl. Graph Theory, 1(2), pp.74~82 (2017)
  15. Samir K. Vaidya, "Some New Results on Seidel Equienergetic Graphs", Kyungpook Mathematical Journal, 59(2), pp.335~340 (2019), 경북대학교 자연과학대학 수학과[DOI]
  16. H. B. Walikar, "Laplacian polynomial and number of spanning trees in terms of characteristic polynomial of induced subgraphs", AKCE Int. J. Graphs Combin, 5(1), pp.47~55 (2008)

관련 논문AI추천

이 간행물의 다른 논문 (14건)