Maximum-sized matroids with no minors isomorphic to U2,5, F7, F-7 or P7

被引：0
|
作者：
Mecay, ST [1 ]
机构：
[1] Univ N Texas, Dept Math, Denton, TX 76203 USA
[2] Schreiner Univ, Dept Math, Kerrville, TX 78028 USA
来源：
COMBINATORICS PROBABILITY & COMPUTING | 2001年 / 10卷 / 06期
关键词：
D O I：
10.1017/S0963548301004801
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let M be the class of simple matroids which do not contain the 5-point line U-2,U-5, the Fano plane F-7, the non-Fano plane F-7(-) or the matroid P-7 as minors. Let h(n) be the maximum number of points in a rank-n matroid in M. We show that h(2) = 4, h(3) = 7, and h(n) = ((n+1)(2)) for n greater than or equal to 4, and we also find all the maximum-sized matroids for each rank.
引用
收藏
页码：531 / 542
页数：12
相关论文
共 50 条
  • [21] Mapping of fragmented νf5/2 → πf7/2 transitions in the 73Co → 73Ni decay
    Go, S.
    Grzywacz, R.
    Mazzocchi, C.
    Liddick, S. N.
    Alshudifat, M.
    Batchelder, J. C.
    Baumann, T.
    Ciemny, A. A.
    Ginter, T. N.
    Gross, C. J.
    Kolos, K.
    Korgul, A.
    Paulauskas, S., V
    Prokop, C. J.
    Rajabali, M. M.
    Rykaczewski, K. P.
    Taylor, S.
    Xiao, Y.
    PHYSICAL REVIEW C, 2020, 102 (04)
  • [22] SHELL-MODEL STUDY OF THE (P,PI-) REACTIONS IN THE F7/2-SHELL REGION
    BROWN, BA
    SCHOLTEN, O
    TOKI, H
    PHYSICAL REVIEW LETTERS, 1983, 51 (21) : 1952 - 1954
  • [23] EPR and angle-selected ENDOR study of 5f-ligand interactions in the [U(η7-C7H7)2]- anion, an f1 analogue of uranocene
    Gourier, D
    Caurant, D
    Arliguie, T
    Ephritikhine, M
    JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1998, 120 (24) : 6084 - 6092
  • [24] Indirect predissociation of the 3p7πu f1Σ+u state o
    Banerjee, S.S.
    Lewis, B.R.
    Gibson, S.T.
    England, J.P.
    Baldwin, K.G.H.
    Journal of Electron Spectroscopy and Related Phenomena, 1996, 80
  • [25] THE (P,T) REACTION TO TI-48 AND V-49 IN THE (F7/2)N MODEL
    SAHA, A
    SETH, KK
    BROWN, BA
    NANN, H
    PHYSICS LETTERS B, 1983, 130 (3-4) : 152 - 156
  • [26] 1/f noise in ion channels formed by the Classical Swine Fever Virus (CSFV) p7 protein
    Alcaraz, A.
    Aguilella, V.
    Largo, E.
    Nieva, J. L.
    EUROPEAN BIOPHYSICS JOURNAL WITH BIOPHYSICS LETTERS, 2019, 48 : S118 - S118
  • [27] 1/f noise in ion channels formed by the Classical Swine Fever Virus (CSFV) p7 protein
    Alcaraz, Antonio
    Aguilella, Vicente M.
    Largo, Eneko
    Nieva, Jose L.
    EUROPEAN BIOPHYSICS JOURNAL WITH BIOPHYSICS LETTERS, 2019, 48 : S44 - S44
  • [28] Role of the 5′F7 polymorphism in the promoter region of the factor VII gene in the development of familial myocardial infarction
    Di Castelnuovo, A
    D'Orazio, A
    Amore, C
    Kluft, C
    Falanga, A
    Donati, MB
    Iacoviello, L
    THROMBOSIS RESEARCH, 1998, 91 (03) : S105 - S105
  • [29] Necessary and Sufficient Conditions of Existence of Extreme Distributions F5 – F7 in the Generalized Chebyshev Inequalities Problem. Part II
    L. S. Stoikova
    Cybernetics and Systems Analysis, 2003, 39 (2) : 284 - 290
  • [30] The effect of nine common polymorphisms in coagulation factor genes (F2, F5, F7, F12 and F13) on the effectiveness of statins: the GenHAT study
    Maitland-van der Zee, Anke-Hilse
    Peters, Bas J. M.
    Lynch, Amy I.
    Boerwinkle, Eric
    Arnett, Donna K.
    Cheng, Suzanne
    Davis, Barry R.
    Leiendecker-Foster, Catherine
    Ford, Charles E.
    Eckfeldt, John H.
    PHARMACOGENETICS AND GENOMICS, 2009, 19 (05): : 338 - 344
12345