메뉴 건너뛰기




Volumn 326, Issue 2, 2007, Pages 1472-1475

The energy of graphs and matrices

Author keywords

Graph eigenvalues; Graph energy; Matrix energy; Singular values; Wigner's semicircle law

Indexed keywords


EID: 33750626281     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.072     Document Type: Article
Times cited : (299)

References (15)
  • 1
    • 0242279604 scopus 로고
    • On the asymptotic distribution of the eigenvalues of random matrices
    • Arnold L. On the asymptotic distribution of the eigenvalues of random matrices. J. Math. Anal. Appl. 20 (1967) 262-268
    • (1967) J. Math. Anal. Appl. , vol.20 , pp. 262-268
    • Arnold, L.1
  • 3
    • 0003257405 scopus 로고    scopus 로고
    • Modern Graph Theory
    • Springer-Verlag, New York xiv+394 pp
    • Bollobás B. Modern Graph Theory. Grad. Texts in Math. vol. 184 (1998), Springer-Verlag, New York xiv+394 pp
    • (1998) Grad. Texts in Math. , vol.184
    • Bollobás, B.1
  • 5
    • 33750613242 scopus 로고    scopus 로고
    • J. Friedman, A proof of Alon's Second Eigenvalue Conjecture, Mem. Amer. Math. Soc., in press
  • 6
    • 51249182622 scopus 로고
    • The eigenvalues of random symmetric matrices
    • Füredi Z., and Komlós J. The eigenvalues of random symmetric matrices. Combinatorica 1 (1981) 233-241
    • (1981) Combinatorica , vol.1 , pp. 233-241
    • Füredi, Z.1    Komlós, J.2
  • 8
    • 0011983412 scopus 로고    scopus 로고
    • The energy of a graph: Old and new results
    • Gössweinstein, 1999, Springer, Berlin
    • Gutman I. The energy of a graph: Old and new results. Algebraic Combinatorics and Applications. Gössweinstein, 1999 (2001), Springer, Berlin 196-211
    • (2001) Algebraic Combinatorics and Applications , pp. 196-211
    • Gutman, I.1
  • 9
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge xiii+561 pp
    • Horn R., and Johnson C. Matrix Analysis (1985), Cambridge University Press, Cambridge xiii+561 pp
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 11
    • 0038238082 scopus 로고    scopus 로고
    • Maximal energy bipartite graphs
    • Koolen J.H., and Moulton V. Maximal energy bipartite graphs. Graphs Combin. 19 (2003) 131-135
    • (2003) Graphs Combin. , vol.19 , pp. 131-135
    • Koolen, J.H.1    Moulton, V.2
  • 12
    • 1642560673 scopus 로고    scopus 로고
    • Upper and lower bounds for the energy of bipartite graphs
    • Rada J., and Tineo A. Upper and lower bounds for the energy of bipartite graphs. J. Math. Anal. Appl. 289 (2004) 446-455
    • (2004) J. Math. Anal. Appl. , vol.289 , pp. 446-455
    • Rada, J.1    Tineo, A.2
  • 13
    • 33244479410 scopus 로고    scopus 로고
    • On the energy of some circulant graphs
    • Shparlinski I. On the energy of some circulant graphs. Linear Algebra Appl. 414 (2006) 378-382
    • (2006) Linear Algebra Appl. , vol.414 , pp. 378-382
    • Shparlinski, I.1
  • 14
    • 15844361948 scopus 로고    scopus 로고
    • Remarks on hyperenergetic circulant graphs
    • Stevanović D., and Stanković I. Remarks on hyperenergetic circulant graphs. Linear Algebra Appl. 400 (2005) 345-348
    • (2005) Linear Algebra Appl. , vol.400 , pp. 345-348
    • Stevanović, D.1    Stanković, I.2
  • 15
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • Wigner E. On the distribution of the roots of certain symmetric matrices. Ann. of Math. 67 (1958) 325-328
    • (1958) Ann. of Math. , vol.67 , pp. 325-328
    • Wigner, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.