논문KCI 등재
ON CERTAIN ENERGIES OF A ONE-POINT UNION OF COMPLETE GRAPHS Kn Κn
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The eigenvalues of a graph G are the eigenvalues of its adjacency matrix. The energy of the graph is defined as the sum of the absolute values of all its eigenvalues. In this paper we compute different energies of a one-point union of m copies of complete graphs on n vertices.
Abstract
The eigenvalues of a graph G are the eigenvalues of its adjacency matrix. The energy of the graph is defined as the sum of the absolute values of all its eigenvalues. In this paper we compute different energies of a one-point union of m copies of complete graphs on n vertices.
참고문헌 (15)
- C. Adiga, "On maximum degree energy of a graph", Int. J. Contemp. Math. Sci., 4, pp.385~396 (2009)
- S. B. Bozkurt, "Randif matrix and Randic energy", MATCH Commun. Math. Comput. Chem., 64, pp.239~250 (2010)
- S. Brin, "The Anatomy of Large-Scale Hypertextual Web Search Engine", Proc. 7th International WWW Conference (1998)
- D. Cvetkovic, "Spectra of Graphs" (1995), Johann Ambrosius Barth Verlag
- D. Cvetkovic, "Applications of Graph Spectra", Zbornik Radova, 13(21) (2009)
- D. Cvetkovic, "The second largest eigenvalue of a graph-a survey", Filomat, 9(5) (1995)
- G. V. Ghodasara, "Cordial labeling of one point union of some graphs", Int. J. Math. Trends. Tech (2014)
- I. Gutman, "Algebraic Combinatorics and Applications", pp.196~211 (2001), Springer-Verlag
- I. Gutman, "Topology and stability of conjugated hydrocarbons. The dependence of total <TEX>${\pi}$<", TEX>-electron energy on molecalar topology, 2005, pp.70, 441~456
- J. Kleinberg, "Authoratitive sources in a hyperlinked environment", J. ACM, 48, pp.604~632 (1999)
- O. Rojo, "Construction of bipartite graphs having the same Randic energy", MATCH Commun. Math. Comput. Chem., 68, pp.805~814 (2012)
- A. Shokoufandeh, "Indexing using a spectral encoding of topoloyical structure", IEEE Trans. Comput. Vision Pattern Recognition, 2, pp.491~497 (1999)
- E. R. van Dam, "The minimal spectral radius of graphs with a given diameter", Linear Alg. Appl., 423, pp.408~419 (2007)[DOI]
- Y. Wang, "Epidemic spreading in real networks: An eigenvalue viewpoint", 22nd Symp. Reliable Distributed Computing (2003)
- B. Zhou, "On the sum-connectivity matrix and sum-connectivity energy of (molecular) graphs", Acta Chim. Slov., 57, pp.513~317 (2010)
관련 논문AI추천
THE MAXIMUM DEGREE ENERGY OF SOME GRAPHS WITH LARGE NUMBER OF EDGESM. SMITHA장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호Upper bounds for energy of a graphC. Adiga, R.K. Zaferani장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호Some New Results on Seidel Equienergetic GraphsKalpesh M. Popat, Samir K. Vaidya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Status Sum Eigenvalues and Energy of GraphsHarishchandra S. Ramane, Ismail Naci CANGUL, Saroja Y. Talwar장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호Energy 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 제3호Partition energy of complete product of circulant graphs and some new class of graphsE. Sampathkumar, K. A. Vidya, M. A. Sriraj, S. V. Roopa장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호
이 간행물의 다른 논문 (13건)
RESTRICTION OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON SL(2;R) TO A SUBGROUP COVERING SL(2; Z)A. I. Shternpp. 1-4TWO VARIABLE HIGHER-ORDER DEGENERATE FUBINI POLYNOMIALS장관우, 김대산, 김태균, 권혁인pp. 5-22New separation axioms on closure spaces generated by relationsA.K. Das, RIA GUPTApp. 23-31A STUDY OF SLANT WEIGHTED TOEPLITZ OPERATORS IN CALKIN ALGEBRANEELIMA OHRI, Gopal Dattpp. 33-44Existence results of Sobolev type neutral impulsive integrodierential equations in Banach spacesR.Nirmalkumar, R. Poongodi, R. Murugesupp. 45-58
