메뉴 건너뛰기




Volumn 23, Issue 6, 2007, Pages 625-632

A sharp upper bound for the number of spanning trees of a graph

Author keywords

Graph; Laplacian matrix; Spanning trees

Indexed keywords


EID: 36949011039     PISSN: 09110119     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00373-007-0758-4     Document Type: Article
Times cited : (59)

References (11)
  • 4
    • 0142030518 scopus 로고    scopus 로고
    • A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs
    • Das, K.C.: A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs, Linear Algebra Appl. 376, 173-186 (2004)
    • (2004) Linear Algebra Appl. , vol.376 , pp. 173-186
    • Das, K.C.1
  • 5
    • 0001407081 scopus 로고
    • An upper bound for the number of spanning trees of a graph
    • Grimmett, G.R.: An upper bound for the number of spanning trees of a graph, Discrete Math. 16, 323-324 (1976)
    • (1976) Discrete Math. , vol.16 , pp. 323-324
    • Grimmett, G.R.1
  • 6
    • 38249027322 scopus 로고
    • A bound for the complexity of a simple graph
    • Grone, R., Merris, R.: A bound for the complexity of a simple graph, Discrete Math. 69, 97-99 (1988)
    • (1988) Discrete Math. , vol.69 , pp. 97-99
    • Grone, R.1    Merris, R.2
  • 9
    • 0000320947 scopus 로고    scopus 로고
    • A note on the second largest eigenvalue of the Laplacian matrix of a graph
    • Li, J.-S., Pan, Y.-L.: A note on the second largest eigenvalue of the Laplacian matrix of a graph, Linear and Multilinear Algebra 48, 117-121 (2000)
    • (2000) Linear and Multilinear Algebra , vol.48 , pp. 117-121
    • Li, J.-S.1    Pan, Y.-L.2
  • 10
    • 33750999449 scopus 로고
    • Laplacian matrices of graphs: A survey
    • Merris, R.: Laplacian matrices of graphs: A survey, Linear Algebra Appl. 197, 198, 143-176 (1994)
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 143-176
    • Merris, R.1
  • 11
    • 0012878180 scopus 로고
    • Master Thesis, University of Calgary
    • Nosal, E.: Eigenvalues of Graphs, Master Thesis, University of Calgary, 1970
    • (1970) Eigenvalues of Graphs
    • Nosal, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.