메뉴 건너뛰기




Volumn 32, Issue 1-2, 2004, Pages 10-30

T-uniqueness of some families of k-chordal matroids

Author keywords

Chordal; Matroid; Matroid reconstruction; Spike; Swirl; T uniqueness; Tutte polynomial; Wheel; Whirl

Indexed keywords


EID: 0346401572     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-8858(03)00075-7     Document Type: Article
Times cited : (10)

References (26)
  • 1
    • 0036087977 scopus 로고    scopus 로고
    • Characterizations of PG(n - 1,q)\PG(k - 1,q) by numerical and polynomial invariants
    • R. Ankney, J. Bonin, Characterizations of PG(n - 1,q)\PG(k - 1,q) by numerical and polynomial invariants, Adv. Appl. Math. 28 (2002) 287-301.
    • (2002) Adv. Appl. Math. , vol.28 , pp. 287-301
    • Ankney, R.1    Bonin, J.2
  • 3
    • 85030927074 scopus 로고    scopus 로고
    • Strongly inequivalent representations and Tutte polynomials of matroids
    • submitted for publication
    • J. Bonin, Strongly inequivalent representations and Tutte polynomials of matroids, Algebra Universalis, submitted for publication.
    • Algebra Universalis
    • Bonin, J.1
  • 4
    • 0033263840 scopus 로고    scopus 로고
    • Characterizing combinatorial geometries by numerical invariants
    • J. Bonin, W. Miller, Characterizing combinatorial geometries by numerical invariants, European J. Combin. 20 (1999) 713-724.
    • (1999) European J. Combin. , vol.20 , pp. 713-724
    • Bonin, J.1    Miller, W.2
  • 5
    • 0347561736 scopus 로고    scopus 로고
    • Size functions of subgeometry-closed classes of representable combinatorial geometries
    • J. Bonin, H. Qin, Size functions of subgeometry-closed classes of representable combinatorial geometries, Discrete Math. 224 (2000) 37-60.
    • (2000) Discrete Math. , vol.224 , pp. 37-60
    • Bonin, J.1    Qin, H.2
  • 6
    • 84967710252 scopus 로고
    • A combinatorial model for series-parallel networks
    • T. Brylawski, A combinatorial model for series-parallel networks, Trans. Amer. Math. Soc. 154 (1971) 1-22.
    • (1971) Trans. Amer. Math. Soc. , vol.154 , pp. 1-22
    • Brylawski, T.1
  • 7
    • 84966229003 scopus 로고
    • A decomposition for combinatorial geometries
    • T.H. Brylawski, A decomposition for combinatorial geometries, Trans. Amer. Math. Soc. 171 (1972) 235-282.
    • (1972) Trans. Amer. Math. Soc. , vol.171 , pp. 235-282
    • Brylawski, T.H.1
  • 8
    • 0001755174 scopus 로고
    • The Tutte polynomial. Part I: General theory
    • A. Barlotti (Ed.), CIME, Liguori, Naples
    • T.H. Brylawski, The Tutte polynomial. Part I: General theory, in: A. Barlotti (Ed.), Matroid Theory and Its Applications, CIME, Liguori, Naples, 1980, pp. 125-275.
    • (1980) Matroid Theory and Its Applications , pp. 125-275
    • Brylawski, T.H.1
  • 9
    • 0005959605 scopus 로고
    • Hyperplane reconstruction of the Tutte polynomial of a geometric lattice
    • T.H. Brylawski, Hyperplane reconstruction of the Tutte polynomial of a geometric lattice, Discrete Math. 35 (1981) 25-38.
    • (1981) Discrete Math. , vol.35 , pp. 25-38
    • Brylawski, T.H.1
  • 10
    • 0002127159 scopus 로고
    • The Tutte polynomial and its applications
    • N. White (Ed.), Cambridge Univ. Press, Cambridge
    • T.H. Brylawski, J.G. Oxley, The Tutte polynomial and its applications, in: N. White (Ed.), Matroid Applications, Cambridge Univ. Press, Cambridge, 1992, pp. 123-225.
    • (1992) Matroid Applications , pp. 123-225
    • Brylawski, T.H.1    Oxley, J.G.2
  • 12
    • 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
  • 14
    • 4043152312 scopus 로고
    • Perfect matroid designs
    • N. White (Ed.), Cambridge Univ. Press, Cambridge
    • M. Deza, Perfect matroid designs, in: N. White (Ed.), Matroid Applications, Cambridge Univ. Press, Cambridge, 1992, pp. 54-72.
    • (1992) Matroid Applications , pp. 54-72
    • Deza, M.1
  • 16
    • 26344468359 scopus 로고    scopus 로고
    • Locally grid graphs: Classification and Tutte uniqueness
    • submitted for publication
    • A. Márquez, A. de Mier, M. Noy, M.P. Revuelta, Locally grid graphs: classification and Tutte uniqueness, Discrete Math., submitted for publication.
    • Discrete Math.
    • Márquez, A.1    de Mier, A.2    Noy, M.3    Revuelta, M.P.4
  • 17
    • 0141555833 scopus 로고    scopus 로고
    • On graphs determined by their Tutte polynomial
    • Preprint
    • A de Mier, M. Noy, On graphs determined by their Tutte polynomial, Preprint.
    • de Mier, A.1    Noy, M.2
  • 18
    • 0141555833 scopus 로고    scopus 로고
    • On matroids determined by their Tutte polynomials
    • Preprint
    • A de Mier, M. Noy, On matroids determined by their Tutte polynomials, Preprint.
    • de Mier, A.1    Noy, M.2
  • 19
    • 0005954333 scopus 로고    scopus 로고
    • Techniques in matroid reconstruction
    • W. Miller, Techniques in matroid reconstruction, Discrete Math. 170 (1997) 173-183.
    • (1997) Discrete Math. , vol.170 , pp. 173-183
    • Miller, W.1
  • 20
    • 0004061262 scopus 로고
    • Oxford Univ. Press, Oxford
    • J.G. Oxley, Matroid Theory, Oxford Univ. Press, Oxford, 1992.
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 21
    • 0010853415 scopus 로고    scopus 로고
    • Structure theory and connectivity for matroids
    • J. Bonin, J.G. Oxley, B. Servatius (Eds.), Amer. Math. Society, Providence RI
    • J.G. Oxley, Structure theory and connectivity for matroids, in: J. Bonin, J.G. Oxley, B. Servatius (Eds.), Matroid Theory, Amer. Math. Society, Providence RI, 1996, pp. 129-170.
    • (1996) Matroid Theory , pp. 129-170
    • Oxley, J.G.1
  • 22
    • 0030187155 scopus 로고    scopus 로고
    • On inequivalent representations of matroids over finite fields
    • J.G. Oxley, D. Vertigan, G. Whittle, On inequivalent representations of matroids over finite fields, J. Combin. Theory Ser. B 67 (1996) 325-343.
    • (1996) J. Combin. Theory Ser. B , vol.67 , pp. 325-343
    • Oxley, J.G.1    Vertigan, D.2    Whittle, G.3
  • 23
    • 0001804149 scopus 로고
    • The Tutte polynomial and percolation
    • J.A. Bondy, U.S.R. Murty (Eds.), Academic Press, New York
    • J.G. Oxley, D.J.A. Welsh, The Tutte polynomial and percolation, in: J.A. Bondy, U.S.R. Murty (Eds.), Graph Theory and Related Topics, Academic Press, New York, 1979, pp. 329-339.
    • (1979) Graph Theory and Related Topics , pp. 329-339
    • Oxley, J.G.1    Welsh, D.J.A.2
  • 24
    • 0000701356 scopus 로고
    • Modular elements in geometric lattices
    • R.P. Stanley, Modular elements in geometric lattices, Algebra Universalis 1 (1971) 214-217.
    • (1971) Algebra Universalis , vol.1 , pp. 214-217
    • Stanley, R.P.1
  • 25
    • 85030929940 scopus 로고    scopus 로고
    • Spikes in matroid theory
    • PhD thesis, Louisiana State University, Baton Rouge, LA
    • Z. Wu, Spikes in matroid theory, PhD thesis, Louisiana State University, Baton Rouge, LA, 1998.
    • (1998)
    • Wu, Z.1
  • 26
    • 84968480589 scopus 로고
    • Binary supersolvable matroids and modular constructions
    • G.M. Ziegler, Binary supersolvable matroids and modular constructions, Proc. Amer. Math. Soc. 113 (1991) 817-829.
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 817-829
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.