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Volumn 96, Issue 1, 2006, Pages 50-66

A Tutte decomposition for matrices and bimatroids

Author keywords

Bimatroid; Critical problem; Matrix; Matroid; Tutte polynomial

Indexed keywords


EID: 29244443940     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jctb.2005.06.009     Document Type: Article
Times cited : (1)

References (22)
  • 1
    • 0012999328 scopus 로고
    • On subgraph enumerating polynomials and Tutte polynomials
    • L. Borzacchini C. Pulito On subgraph enumerating polynomials and Tutte polynomials Boll. Un. Mat. Ital. B (6) 1 1982 589-597
    • (1982) Boll. Un. Mat. Ital. B , vol.1 , Issue.6 , pp. 589-597
    • Borzacchini, L.1    Pulito, C.2
  • 3
    • 0002127159 scopus 로고
    • The Tutte polynomial and its applications
    • Cambridge University Press Cambridge
    • T. Brylawski J.G. Oxley The Tutte polynomial and its applications Matroid Applications 1992 Cambridge University Press Cambridge 123-225
    • (1992) , pp. 123-225
    • Brylawski, T.1    Oxley, J.G.2
  • 5
    • 0001353638 scopus 로고
    • The Tutte polynomial
    • H.H. Crapo The Tutte polynomial Aequationes Math. 3 1969 211-229
    • (1969) Aequationes Math. , vol.3 , pp. 211-229
    • Crapo, H.H.1
  • 7
    • 0040713233 scopus 로고
    • A correlation inequality involving stable set and chromatic polynomials
    • G. Farr A correlation inequality involving stable set and chromatic polynomials J. Combin. Theory Ser. B 58 1993 14-21
    • (1993) J. Combin. Theory Ser. B , vol.58 , pp. 14-21
    • Farr, G.1
  • 8
    • 29244455109 scopus 로고
    • An Erlanger program for combinatorial geometries
    • Ph.D. Thesis, MIT, Cambridge, MA
    • J.P.S. Kung, An Erlanger program for combinatorial geometries, Ph.D. Thesis, MIT, Cambridge, MA, 1978.
    • (1978)
    • Kung, J.P.S.1
  • 9
    • 0042714883 scopus 로고
    • Bimatroids and invariants
    • J.P.S. Kung Bimatroids and invariants Adv. Math. 30 1978 238-249
    • (1978) Adv. Math. , vol.30 , pp. 238-249
    • Kung, J.P.S.1
  • 10
    • 84974018275 scopus 로고
    • The Rédei function of a relation
    • J.P.S. Kung The Rédei function of a relation J. Combin. Theory Ser. A 29 1980 287-296
    • (1980) J. Combin. Theory Ser. A , vol.29 , pp. 287-296
    • Kung, J.P.S.1
  • 11
    • 29244467761 scopus 로고    scopus 로고
    • American Mathematics Society Providence, RI
    • J.P.S. Kung Critical problems J.E. Bonin J.G. Oxley B. Servatius Matroid Theory 1996 American Mathematics Society Providence, RI pp. 1-127
    • (1996) Matroid Theory , pp. 1-127
    • Kung, J.P.S.1
  • 12
    • 0002083113 scopus 로고    scopus 로고
    • Pfaffian structures and critical problems in finite symplectic spaces
    • J.P.S. Kung Pfaffian structures and critical problems in finite symplectic spaces Ann. Combin. 1 1997 159-172
    • (1997) Ann. Combin. , vol.1 , pp. 159-172
    • Kung, J.P.S.1
  • 13
    • 0346277635 scopus 로고    scopus 로고
    • Twelve views of matroid theory
    • S. Hong J.H. Kwak K.H. Kim F.W. Roush (Eds.) World Scientific Singapore
    • J.P.S. Kung Twelve views of matroid theory S. Hong J.H. Kwak K.H. Kim F.W. Roush Combinatorial and Computational Mathematics: Present and Future 2001 World Scientific Singapore 56-96
    • (2001) Combinatorial and Computational Mathematics: Present and Future , pp. 56-96
    • Kung, J.P.S.1
  • 14
    • 0004061262 scopus 로고
    • Oxford: Oxford University Press
    • J.G. Oxley Matroid Theory 1992 Oxford University Press Oxford
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 15
    • 0010798945 scopus 로고
    • A characterization of Tutte invariants of 2-polymatroids
    • J.G. Oxley G. Whittle A characterization of Tutte invariants of 2-polymatroids J. Combin. Theory Ser. B 59 1993 210-244
    • (1993) J. Combin. Theory Ser. B , vol.59 , pp. 210-244
    • Oxley, J.G.1    Whittle, G.2
  • 16
  • 18
    • 0000537710 scopus 로고
    • On dichromatic polynomials
    • W.T. Tutte On dichromatic polynomials J. Combin. Theory 2 1967 301-320
    • (1967) J. Combin. Theory , vol.2 , pp. 301-320
    • Tutte, W.T.1
  • 19
    • 0346277646 scopus 로고
    • 1-factors and polynomials
    • W.T. Tutte 1-factors and polynomials European J. Combin. 1 1980 77-87
    • (1980) European J. Combin. , vol.1 , pp. 77-87
    • Tutte, W.T.1
  • 21
  • 22
    • 0004236843 scopus 로고
    • (Ed.) Cambridge University Press, Cambridge
    • N.L. White (Ed.), Theory of Matroids, Cambridge University Press, Cambridge, 1986.
    • (1986) Theory of Matroids
    • White, N.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.