Combinatorial Geometries

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Cambridge University Press, Sep 24, 1987 - Mathematics - 212 pages
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A continuation of The Theory of Matroids, (edited by N. White), this volume consists of a series of related surveys by top authorities on coordinatizations, matching theory, transversal and simplicial matroids, and studies of important matroid variants. An entire chapter is devoted to matroids in combinatorial optimization, a topic of current interest. Care has been taken to ensure a uniform style throughout, and to make a work that can be used as a reference or as a graduate textbook. Excercises are included.
  

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Contents

Matroid operations
6
Brackets
15
Coordinatizations over transcendental extensions
21
Binary Matroids J C Fournier
28
Unimodular Matroids Neil White
40
Introduction to Matching Theory Richard A Brualdi
53
Transversal Matroids Richard A Brualdi
72
Simplicial Matroids Raul Cordovil and Bernt Lindstrdm
98
Whitney Numbers Martin Aigner
139
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Bibliography
In Combinatorial geometries (ed. White, N.), pp. 161-210. ... Lectures on combinatorial geometries NSF advanced science seminar, Bowdoin College, Brunswick, ...
members.aol.com/ matroids/ biblioE-H.html

Combinatorial geometries
Source, Cambridge Encyclopedia Of Mathematics And Its Applications Series archive. Combinatorial geometries table of contents. Year of Publication: 1986 ...
portal.acm.org/ citation.cfm?id=18227

Books
On the foundations of combinatorial theory: Combinatorial geometries. ... Matroids and combinatorial geometries. Carolina Lecture Series. ...
www.matroids.googlepages.com/ books.html

White, Neil L.
Combinatorial geometries (Luminy, 1999). European J. Combin. 22 (2001), no. 5, 639--656. ..... Coordinatization of combinatorial geometries. ...
www.math.ufl.edu/ fac/ facmr/ White.html

Feature Column from the AMS
Brylawski, T. and D. Kelly, Matroids and Combinatorial Geometries, Department of Mathematics, University of North Carolina, Chapel Hill, 1980. ...
www.ams.org/ featurecolumn/ archive/ matroids6.html

Springer Online Reference Works
Matroids are also studied from a more geometric point of view, under the name "combinatorial geometries" (cf. also Combinatorial geometry). ...
eom.springer.de/ m/ m062870.htm

ACE Summer School lectures 2005- Vic Reiner
hh Crapo and G.-C. Rota, "On the foundations of combinatorial theory: Combinatorial geometries. Preliminary edition", The mit Press, Cambridge, Mass. ...
www.math.umn.edu/ ~reiner/ Talks/ Vienna05/ index.html

Matroid -- from Wolfram mathworld
The number of simple matroids (or combinatorial geometries) with n=0 ... Blackburn, je; Crapo, hh; and Higgs, da "A Catalogue of Combinatorial Geometries. ...
mathworld.wolfram.com/ Matroid.html

Tutte polynomial - Let M be a matroid with rank function r on the ...
[7] Crapo, hh and Rota, G.-C., On the Foundations of Combinatorial Theory: Combinatorial Geometries,. preliminary edition, mit Press, Cambridge, Mass., ...
ww2.lafayette.edu/ ~math/ Gary/ tutte.pdf

Tmecca : Combinatorial Geometries by White, Neil ( Cambridge ...
Combinatorial Geometries. 정가, 132000원. 판매가, 132000원 + 수수료 (0% DC). 적립금, 2600(2%). ISBN10, 0521333393. ISBN13, 9780521333399 ...
www.tmecca.co.kr/ detail/ detail_book.html?isbn=9780521333399

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