Abstract
Let b(M) denote the maximal number of disjoint bases in a matroid M. It is shown that if M is a matroid of rank d + 1, then for any continuous map f from the matroidal complex M into Rd there exist disjoint independent sets σ1…,σt ε M such that ⋂ti=1f(σi)≠∅.
Original language | English |
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Title of host publication | A Journey through Discrete Mathematics |
Subtitle of host publication | A Tribute to Jiri Matousek |
Publisher | Springer International Publishing |
Pages | 115-121 |
Number of pages | 7 |
ISBN (Electronic) | 9783319444796 |
ISBN (Print) | 9783319444789 |
DOIs | |
State | Published - 1 Jan 2017 |
Bibliographical note
Publisher Copyright:© Springer International Publishing AG 2017.