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Volumn 179, Issue 1-3, 1998, Pages 155-166

On the characterization of graphs with maximum number of spanning trees

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Indexed keywords


EID: 0041357086     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(97)00034-4     Document Type: Article
Times cited : (40)

References (10)
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    • Boesch, L.1    Suffel2
  • 3
    • 0043092922 scopus 로고
    • Spectra of graphs
    • Academic Press, New York
    • Cvetovic, Doob, Sachs, Spectra of Graphs, Mathematics vol. 87, Academic Press, New York, 1980.
    • (1980) Mathematics , vol.87
    • Cvetovic1    Doob2    Sachs3
  • 4
    • 0010944217 scopus 로고
    • Maximizing the total number of spanning trees in a graph: Two related problems in graph theory and optimization design theory
    • C. Cheng, Maximizing the total number of spanning trees in a graph: two related problems in graph theory and optimization design theory, J. Combin. Theory B 31, (1981) 240-248.
    • (1981) J. Combin. Theory B , vol.31 , pp. 240-248
    • Cheng, C.1
  • 5
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, MA
    • F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1971.
    • (1971) Graph Theory
    • Harary, F.1
  • 6
    • 0040555950 scopus 로고
    • A certain polynomial of a graph and graphs with an extremal number of trees
    • A. Kelmans, V. Chelnokov, A certain polynomial of a graph and graphs with an extremal number of trees, J. Combin. Theory B 16 (1974) 197-214.
    • (1974) J. Combin. Theory B , vol.16 , pp. 197-214
    • Kelmans, A.1    Chelnokov, V.2
  • 7
    • 0041150047 scopus 로고
    • Comparisons of graphs by their number of spanning trees
    • A. Kelmans, Comparisons of graphs by their number of spanning trees, Discrete Math. 16 (1976) 241-261.
    • (1976) Discrete Math. , vol.16 , pp. 241-261
    • Kelmans, A.1
  • 8
    • 33750999449 scopus 로고
    • Laplacian matrix of graphs: A survey
    • R. Merris, Laplacian matrix of graphs: a survey, Linear Algebra Appl. 198 (1994) 143-176.
    • (1994) Linear Algebra Appl. , vol.198 , pp. 143-176
    • Merris, R.1
  • 9
    • 0016118919 scopus 로고
    • Maximizing the number of spanning trees in a graph with n nodes and m edges
    • D. Shier, Maximizing the number of spanning trees in a graph with n nodes and m edges, J. Res. Nat. Bureau Standards 78 B (1974) 193-196.
    • (1974) J. Res. Nat. Bureau Standards , vol.78 B , pp. 193-196
    • Shier, D.1
  • 10
    • 84902441157 scopus 로고
    • A proof of Boesch's conjecture
    • Wang, A proof of Boesch's conjecture, Networks 24 (1994) 277-284.
    • (1994) Networks , vol.24 , pp. 277-284
    • Wang1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.