Matroid Matching In Pseudomodular Lattices

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ELTE

Egerárvy Research Group on Combinatorial Optimization Technical reportS TR-2014-14. Published by the Egerváry Research Group, Pázmány P sétány 1/C, H 1117, Budapest, Hungar

Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms

Volume 1 of 4 ISBN: 978-1-5108-7993-5 Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2019) San Diego, California, USA 6 - 9 January 2019

Minimizing Submodular Functions on Diamonds via Generalized

fractional matroid matching problem , which was solved by Gijswijt and Pap [7]. The main restriction compared to our generalized problem is that the lattice function corresponding to fractional matroid matching is derived from a matroid rank func-tion, and hence it is monotone nondecreasing and has maximum aluev at most 2n.

Matroid Theory And Its Applications In Electric Network

May 24, 2021 Matroid Theory and Its Applications in Electric Network Theory and in Statics Discrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical

Structure Analysis of Some Generalizations of Matchings and

structures, Gauss greedoids and ∆-matroids will be extended from Boolean lattices to general distributive lattices, and the resulting structures will be characterized by certain greedy-type algorithms. While a matching of maximal size can be determined by a polynomial algorithm, the dual

Matroid matching with Dilworth truncation

the maximum matroid matching in the 2-dimensional rigidity matroid (k = 2, l = 3). 1 Introduction The theory of matroid matching is known to involve a range of combinatorial opti-mization problems concerning parity. One of its numerous equivalent definitions is as follows. Let M be a matroid with ground-set E, with rank-function r M, with span-

By Satoru FUJISHIGE, Tama´s KIRALY, Kazuhisa MAKINO,´ Kenjiro

fractional matroid matching problem, whichwassolvedbyGijswijtand Pap[7]. The main restriction compared to our generalized problem is that the lattice func-tion corresponding to fractional matroid matching is derived from a matroid rank function, and hence it is monotone nondecreasing and has maximum value at most 2n.

PUBLICATIONS - KTH

Oct 04, 2016 (53) Extendable shellability for rank 3 matroid complexes (with K. Eriks- son), Discrete Math. 132 (1994), 373{376. (54) Subspace arrangements, in First European Congress of Mathemat-