Publication details
Markov bases of binary graph models of K-4-minor free graphs
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Combinatorial Theory, Series A |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jcta.2009.07.007 |
| Keywords | Binary graph model; Markov base; Markov width; Series-parallel graphs |
| Description | The Markov width of a graph is a graph invariant defined as the maximum degree of a Markov basis element for the corresponding graph model for binary contingency tables. We show that a graph has Markov width at most four if and only if it contains no K-4 as a minor, answering a question of Develin and Sullivant. We also present a lower bound of order Omega(n(2-epsilon)) on the Markov width of K-n. (C) 2009 Elsevier Inc. All rights reserved. |