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Volumn 94, Issue 1, 2005, Pages 117-145

Polynomials with the half-plane property and the support theorems

Author keywords

Basis; Definite parity; Generating polynomial; Half plane property; Jump system; Matroid; Support

Indexed keywords


EID: 15444376433     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jctb.2004.12.001     Document Type: Article
Times cited : (6)

References (17)
  • 1
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    • Delta-Matroids, Jump Systems, and Bisubmodular Polyhedra
    • A. Bouchet W.H. Cunningham Delta-Matroids, Jump Systems, and Bisubmodular Polyhedra SIAM J. Discrete Math. 8 1995 17-32
    • (1995) SIAM J. Discrete Math. , vol.8 , pp. 17-32
    • Bouchet, A.1    Cunningham, W.H.2
  • 3
    • 0346401580 scopus 로고    scopus 로고
    • Homogeneous multivariate polynomials with the half-plane property
    • Tutte polynomial (special issue)
    • Y.B. Choe, J.G. Oxley, A.D. Sokal, D.G. Wagner, Homogeneous multivariate polynomials with the half-plane property, in: Tutte polynomial (special issue), Adv. Appl. Math. 32 (2004) 88-187.
    • (2004) Adv. Appl. Math. , vol.32 , pp. 88-187
    • Choe, Y.B.1    Oxley, J.G.2    Sokal, A.D.3    Wagner, D.G.4
  • 4
    • 15444367460 scopus 로고    scopus 로고
    • Polynomials with the half-plane property
    • Departmental Technical Report, Department of Combinatorics and Optimization, University of Waterloo
    • Y.B. Choe, Polynomials with the half-plane property, Departmental Technical Report, Department of Combinatorics and Optimization, University of Waterloo, 2001.
    • (2001)
    • Choe, Y.B.1
  • 5
    • 15444362354 scopus 로고    scopus 로고
    • Polynomials with the Half-Plane Property and Rayleigh Monotonicity
    • Ph.D. Thesis, Department of Combinatorics and Optimization, University of Waterloo
    • Y.B. Choe, Polynomials with the Half-Plane Property and Rayleigh Monotonicity, Ph.D. Thesis, Department of Combinatorics and Optimization, University of Waterloo, 2003.
    • (2003)
    • Choe, Y.B.1
  • 6
    • 0141945518 scopus 로고
    • Some open problems on reliability polynomials
    • C.J. Colbourn Some open problems on reliability polynomials Congr. Numer. 93 1993 187-202
    • (1993) Congr. Numer. , vol.93 , pp. 187-202
    • Colbourn, C.J.1
  • 9
    • 0004026166 scopus 로고
    • second ed. Providence, RI: American Mathematical Society
    • M. Marden Geometry of Polynomials second ed. 1966 American Mathematical Society Providence, RI
    • (1966) Geometry of Polynomials
    • Marden, M.1
  • 10
    • 0004061262 scopus 로고
    • New York: Oxford University Press
    • J.G. Oxley Matroid Theory 1992 Oxford University Press New York
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 12
    • 3242672717 scopus 로고    scopus 로고
    • The Brown-Colbourn conjecture on zeros of reliability polynomials is false
    • G. Royle A.D. Sokal The Brown-Colbourn conjecture on zeros of reliability polynomials is false J. Combin. Theory Ser. B 91 2004 345-360
    • (2004) J. Combin. Theory Ser. B , vol.91 , pp. 345-360
    • Royle, G.1    Sokal, A.D.2
  • 13
    • 0035608319 scopus 로고    scopus 로고
    • Bounds on the complex zeros of (di)chromatic polynomials and Potts-model partition functions
    • A.D. Sokal Bounds on the complex zeros of (di)chromatic polynomials and Potts-model partition functions Combin. Probab. Comput. 10 2001 41-77
    • (2001) Combin. Probab. Comput. , vol.10 , pp. 41-77
    • Sokal, A.D.1
  • 15
    • 0034390407 scopus 로고    scopus 로고
    • Zeros of reliability polynomials and f-vectors of matroids
    • D.G. Wagner Zeros of reliability polynomials and f-vectors of matroids Combin. Probab. Comput. 9 2000 167-190
    • (2000) Combin. Probab. Comput. , vol.9 , pp. 167-190
    • Wagner, D.G.1
  • 16
    • 0011278880 scopus 로고
    • On the location of the roots of certain types of polynomials
    • J.L. Walsh On the location of the roots of certain types of polynomials Trans. Amer. Math. Soc. 24 1922 163-180
    • (1922) Trans. Amer. Math. Soc. , vol.24 , pp. 163-180
    • Walsh, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.