[HTML][HTML] On the forced matching numbers of bipartite graphs

P Adams, M Mahdian, ES Mahmoodian - Discrete Mathematics, 2004 - Elsevier
Let G be a graph that admits a perfect matching. A forcing set for a perfect matching M of G is
a subset S of M, such that S is contained in no other perfect matching of G. This notion has …

On the spectrum of the forced matching number of graphs

P Afshani, H Hatami, ES Mahmoodian - arXiv preprint arXiv:0903.2578, 2009 - arxiv.org
Let $ G $ be a graph that admits a perfect matching. A {\sf forcing set} for a perfect matching
$ M $ of $ G $ is a subset $ S $ of $ M $, such that $ S $ is contained in no other perfect …

[PDF][PDF] A characterization of uniquely 2-list colorable graphs

M Mahdian, ES Mahmoodian - ARS COMBINATORIA-WATERLOO THEN …, 1999 - Citeseer
Let G be a graph with vertices, and let S1; S2;:::; S be a list of colors on its vertices, each of
size k. If there exists a unique proper coloring for G from this list of colors, then G is called …

The restrained geodetic number of a graph

H Abdollahzadeh Ahangar, V Samodivkin… - Bulletin of the Malaysian …, 2015 - Springer
A geodetic set S ⊆ V (G) S⊆ V (G) of a graph G=(V, E) G=(V, E) is a restrained geodetic set
if the subgraph GV ∖ SGV\S has no isolated vertex. The minimum cardinality of a restrained …

Combinatorial schemes for protecting digital content

SR Blackburn - Surveys in combinatorics, 2003 - books.google.com
When digital information is widely distributed in some fashion, the distributor would often like
to trace the source of pirate copies of the information. The paper surveys some of the …

On uniquely list colorable graphs

M Ghebleh, ES Mahmoodian - arXiv preprint math/9906009, 1999 - arxiv.org
Let G be a graph with n vertices and suppose that for each vertex v in G, there exists a list of
k colors L (v), such that there is a unique proper coloring for G from this collection of lists …

Complete forcing numbers of catacondensed hexagonal systems

SJ Xu, H Zhang, J Cai - Journal of Combinatorial Optimization, 2015 - Springer
Let G be a graph with edge set E (G) that admits a perfect matching M. A forcing set of M is a
subset of M contained in no other perfect matchings of G. A global forcing set of GG …

[PDF][PDF] A linear-time algorithm for computing the complete forcing number and the Clar number of catacondensed hexagonal systems

WH Chan, SJ Xu, G Nong - 2015 - Citeseer
Let G be a graph with edge set E (G) that admits a perfect matching M. A forcing set of M is a
subset of M contained in no other perfect matching of G. A complete forcing set of G, recently …

[PDF][PDF] New classes of complete problems for the second level of the polynomial hierarchy

B Johannes - 2011 - depositonce.tu-berlin.de
An important aspect of discrete optimization is to analyze the computational complexity of
combinatorial optimization problems. The polynomial hierarchy provides a proper …

[HTML][HTML] Extremal anti-forcing numbers of perfect matchings of graphs

K Deng, H Zhang - Discrete Applied Mathematics, 2017 - Elsevier
The anti-forcing number of a perfect matching M of a graph G is the minimal number of
edges not in M whose removal to make M as a unique perfect matching of the resulting …