Multimatroids II. Orthogonality, minors and connectivity

Author:

Bouchet André

Abstract

A multimatroid is a combinatorial structure that encompasses matroids, delta-matroids and isotropic systems. This structure has been introduced to unify a theorem of Edmonds on the coverings of a matroid by independent sets and a theorem of Jackson on the existence of pairwise compatible Euler tours in a 4-regular graph. Here we investigate some basic concepts and properties related with multimatroids: matroid orthogonality, minor operations and connectivity.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the linear algebra of local complementation;Linear Algebra and its Applications;2012-03

2. Towards Minimizing k-Submodular Functions;Lecture Notes in Computer Science;2012

3. Graph Polynomials and Their Applications II: Interrelations and Interpretations;Structural Analysis of Complex Networks;2010-09-16

4. Straight-ahead walks in Eulerian graphs;Discrete Mathematics;2004-04

5. Hopf Algebras and the Penrose Polynomial;European Journal of Combinatorics;2001-11

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