메뉴 건너뛰기




Volumn 3, Issue , 1998, Pages 48-74

Extremizing algebraic connectivity subject to graph theoretic constraints

Author keywords

Algebraic connectivity; Diameter; Girth; Laplacian matrix; Radius; Weighted graphs

Indexed keywords


EID: 0042566832     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1014     Document Type: Article
Times cited : (96)

References (17)
  • 2
    • 0003365565 scopus 로고    scopus 로고
    • Spectral Graph Theory
    • American Mathematical Society, Providence, RI
    • [C] F.R.K. Chung, Spectral Graph Theory, Conference Board of the Mathematical Sciences, No. 92, American Mathematical Society, Providence, RI, 1997.
    • (1997) Conference Board of the Mathematical Sciences , vol.92
    • Chung, F.R.K.1
  • 4
    • 10044269242 scopus 로고    scopus 로고
    • Perron components and algebraic connectivity for weighted graphs
    • [FK] To appear
    • [FK] S. Fallat and S. Kirkland, Perron components and algebraic connectivity for weighted graphs, To appear in Linear and Multilinear Algebra.
    • Linear and Multilinear Algebra
    • Fallat, S.1    Kirkland, S.2
  • 5
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • F1
    • [F1] M. Fiedler, Algebraic connectivity of graphs, Czechoslovak Math. J. 23:298-305 (1973).
    • (1973) Czechoslovak Math. J. , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 6
    • 0003186094 scopus 로고
    • A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
    • F2
    • [F2] M. Fiedler, A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory, Czechoslovak Math. J. 25:607-618 (1975).
    • (1975) Czechoslovak Math. J. , vol.25 , pp. 607-618
    • Fiedler, M.1
  • 7
    • 0001180385 scopus 로고
    • Algebraic connectivity of trees
    • GM1
    • [GM1] R. Grone and R. Merris, Algebraic connectivity of trees, Czechoslovak Math. J. 37:660-670 (1987).
    • (1987) Czechoslovak Math. J. , vol.37 , pp. 660-670
    • Grone, R.1    Merris, R.2
  • 8
    • 0041294769 scopus 로고
    • Ordering trees by algebraic connectivity
    • GM2
    • [GM2] R. Grone and R. Merris, Ordering trees by algebraic connectivity, Graphs and Combinatorics 6:229-237 (1990).
    • (1990) Graphs and Combinatorics , vol.6 , pp. 229-237
    • Grone, R.1    Merris, R.2
  • 10
  • 11
    • 21944434098 scopus 로고    scopus 로고
    • Algebraic connectivity of weighted trees under perturbation
    • KN
    • [KN] S. Kirkland and M. Neumann, Algebraic connectivity of weighted trees under perturbation, Linear and Multilinear Algebra 42:187-203 (1997).
    • (1997) Linear and Multilinear Algebra , vol.42 , pp. 187-203
    • Kirkland, S.1    Neumann, M.2
  • 12
    • 0002190088 scopus 로고    scopus 로고
    • Characteristic vertices of weighted trees via Perron values
    • KNS
    • [KNS] S. Kirkland, M. Neumann and B. Shader, Characteristic vertices of weighted trees via Perron values, Linear and Multilinear Algebra 40:311-325 (1996).
    • (1996) Linear and Multilinear Algebra , vol.40 , pp. 311-325
    • Kirkland, S.1    Neumann, M.2    Shader, B.3
  • 13
    • 0002161806 scopus 로고
    • Characteristic vertices of trees
    • M1
    • [M1] R. Merris, Characteristic vertices of trees, Linear and Multilinear Algebra 22:115-131 (1987).
    • (1987) Linear and Multilinear Algebra , vol.22 , pp. 115-131
    • Merris, R.1
  • 14
    • 33750999449 scopus 로고
    • Laplacian matrices of graphs: A survey
    • M2
    • [M2] R. Merris, 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
  • 15
  • 16
    • 0002427040 scopus 로고
    • Eigenvalues, diameter, and mean distance in graphs
    • MO1
    • [MO1] B. Mohar, Eigenvalues, diameter, and mean distance in graphs, Graphs and Combinatorics 7:53-64 (1991).
    • (1991) Graphs and Combinatorics , vol.7 , pp. 53-64
    • Mohar, B.1
  • 17
    • 0000011910 scopus 로고
    • Laplace eigenvalues of graphs-a survey
    • MO2
    • [MO2] B. Mohar, Laplace eigenvalues of graphs-a survey, Discrete Mathematics 109:171-183 (1992).
    • (1992) Discrete Mathematics , vol.109 , pp. 171-183
    • Mohar, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.