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Orthogonal Matroids

✍ Scribed by Z.-X. Wan

Publisher: Springer
Year: 2000
Tongue: English
Weight: 102 KB
Volume: 4
Category: Article
ISSN: 0218-0006
DOI: 10.1007/s000260050009

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📜 SIMILAR VOLUMES

Oriented Lagrangian Orthogonal Matroid R

Oriented Lagrangian Orthogonal Matroid Representations

✍ Richard F. Booth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

A characterization of orthogonal duality

A characterization of orthogonal duality in matroid theory

✍ Joseph P. S. Kung 📂 Article 📅 1983 🏛 Springer 🌐 English ⚖ 140 KB

An operation on matroids is a function defined from the collection of all matroids on finite sets to itself which preserves isomorphism of matroids and sends a matroid on a set S to a matroid on the same set S. We show that orthogonal duality is the only non-trivial operation on matroids which inter

Coloring matroids

✍ Raul Cordovil 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 367 KB

Consider a simple matroid M(E) with rank r = 3. We prove that there is no partition E = E1uE2 such that, for every line i of M, at least one of the sets lnEl or lnEz is a singleton. A natural generalization of this result to higher ranks is considered.

Symmetric matroids

✍ Gil Kalai 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 621 KB

Equicardinal matroids

✍ U.S.R Murty 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 344 KB

Matroid inequalities

✍ Manoj K. Chari 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 188 KB

An important enumerative invariant of a matroid M of rank d is its h-vector defined as (ho, hi ..... ha), where h~ is the coefficient ofx d-i in the polynomial T(M; x, 1), where T(M; x, y) is the Tutte polynomial of M [3]. We refer to Bj6rner's chapter [1] and to [4] for a comprehensive discussion o