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Volumn 261, Issue 1-3, 1997, Pages 23-47

Hook immanantal inequalities for Laplacians of trees

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EID: 0040097933     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00305-9     Document Type: Article
Times cited : (9)

References (18)
  • 2
    • 0001806442 scopus 로고
    • Permanent of Laplacian matrix of trees and bipartite graphs
    • R. Brualdi and J. Goldwasser, Permanent of Laplacian matrix of trees and bipartite graphs, Discrete Math. 48:1-21 (1984).
    • (1984) Discrete Math. , vol.48 , pp. 1-21
    • Brualdi, R.1    Goldwasser, J.2
  • 3
    • 0001217760 scopus 로고
    • A combinatorial proof of the all minors matrix tree theorem
    • S. Chaiken, A combinatorial proof of the all minors matrix tree theorem, SIAM J. Algebraic Discrete Methods 3:319-329 (1982).
    • (1982) SIAM J. Algebraic Discrete Methods , vol.3 , pp. 319-329
    • Chaiken, S.1
  • 5
    • 38249013442 scopus 로고
    • Immanants of combinatorial matrices
    • I. P. Goulden and D. M. Jackson, Immanants of combinatorial matrices, J. Algebra 148:305-324 (1992).
    • (1992) J. Algebra , vol.148 , pp. 305-324
    • Goulden, I.P.1    Jackson, D.M.2
  • 7
    • 0002287733 scopus 로고
    • Immanant dominance orderings for hook partitions
    • P. Heyfron, Immanant dominance orderings for hook partitions, Linear and Multilinear Algebra 24(1):65-78 (1988).
    • (1988) Linear and Multilinear Algebra , vol.24 , Issue.1 , pp. 65-78
    • Heyfron, P.1
  • 8
    • 0001812712 scopus 로고
    • Permanants and immanants of hermitian matrices
    • G. D. James and M. Liebeck, Permanants and immanants of Hermitian matrices, Proc. London Math. Soc. 55(3):243-265 (1987).
    • (1987) Proc. London Math. Soc. , vol.55 , Issue.3 , pp. 243-265
    • James, G.D.1    Liebeck, M.2
  • 9
    • 0013480682 scopus 로고
    • Inequalities for single-hook immanants
    • C. R. Johnson and S. Pierce, Inequalities for single-hook immanants, Linear Algebra Appl. 102:55-79 (1988).
    • (1988) Linear Algebra Appl. , vol.102 , pp. 55-79
    • Johnson, C.R.1    Pierce, S.2
  • 10
    • 33750999449 scopus 로고
    • Laplacian matrices of graphs: A survey
    • 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
  • 11
    • 0001626442 scopus 로고
    • The second immanantal polynomial and the centroid of a graph
    • R. Merris, The second immanantal polynomial and the centroid of a graph, SIAM J. Algebraic Discrete Methods 7:484-497 (1986).
    • (1986) SIAM J. Algebraic Discrete Methods , vol.7 , pp. 484-497
    • Merris, R.1
  • 12
    • 0003129167 scopus 로고
    • Single-hook characters and Hamiltonian circuits
    • R. Merris, Single-hook characters and Hamiltonian circuits, Linear and Multilinear Algebra 14:21-35 (1983).
    • (1983) Linear and Multilinear Algebra , vol.14 , pp. 21-35
    • Merris, R.1
  • 13
    • 0013550789 scopus 로고
    • Inequalities and identities for generalized matrix functions
    • R. Merris and W. Watkins, Inequalities and identities for generalized matrix functions, Linear Algebra Appl. 64:223-242 (1985).
    • (1985) Linear Algebra Appl. , vol.64 , pp. 223-242
    • Merris, R.1    Watkins, W.2
  • 14
    • 38249013353 scopus 로고
    • Descending chains of immanants
    • T. H. Pate, Descending chains of immanants, Linear Algebra Appl. 162-164:639-650 (1992).
    • (1992) Linear Algebra Appl. , vol.162-164 , pp. 639-650
    • Pate, T.H.1
  • 15
    • 84963027274 scopus 로고
    • Immanant inequalities and partition node diagrams
    • T. H. Pate, Immanant inequalities and partition node diagrams, J. London Math. Soc. (2) 46:65-80 (1992).
    • (1992) J. London Math. Soc. (2) , vol.46 , pp. 65-80
    • Pate, T.H.1
  • 16
    • 0003193864 scopus 로고
    • Immanant inequalities, induced characters and rank two partitions
    • T. H. Pate, Immanant inequalities, induced characters and rank two partitions, J. London Math. Soc. (2) 49:40-60 (1994).
    • (1994) J. London Math. Soc. (2) , vol.49 , pp. 40-60
    • Pate, T.H.1
  • 18
    • 0001910989 scopus 로고
    • Honours Thesis, National Univ. of Singapore, Singapore
    • Hsiu-Khuern Tang, Generalized Matrix Functions, Honours Thesis, National Univ. of Singapore, Singapore, 1995.
    • (1995) Generalized Matrix Functions
    • Tang, H.-K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.