output
19942026
most citedArea laws for the entanglement entropy - a review

2.9k citations

Showing 2017 · math.COShow all

7 papers · 2 filters

math.CO2017

On some Graphs with a Unique Perfect Matching

S. Chaplick, M. Fürst, F. Maffray +1

We show that deciding whether a given graph of size has a unique perfect matching as well as finding that matching, if it exists, can be done in time if is eithe…

math.CO2017★ 2 cited

A lower bound on the acyclic matching number of subcubic graphs

M. Fürst, D. Rautenbach

The acyclic matching number of a graph is the largest size of an acyclic matching in , that is, a matching in such that the subgraph of induced by the vertices i…

math.CO2017★ 3 cited

On some hard and some tractable cases of the maximum acyclic matching problem

M. Fürst, D. Rautenbach

Three well-studied types of subgraph-restricted matchings are induced matchings, uniquely restricted matchings, and acyclic matchings. While it is hard to determine the maximum siz…

math.CO2017

On the Kőnig-Egerváry Theorem for -Paths

Stéphane Bessy, Pascal Ochem, Dieter Rautenbach

The famous Kőnig-Egerváry theorem is equivalent to the statement that the matching number equals the vertex cover number for every induced subgraph of some graph if and only if tha…

math.CO2017

Locally Searching for Large Induced Matchings

Maximilian Fürst, Marilena Leichter, Dieter Rautenbach

It is an easy observation that a natural greedy approach yields a -factor approximation algorithm for the maximum induced matching problem in -regular graph…

math.CO2017

Sandwiches Missing Two Ingredients of Order Four

José D. Alvarado, Simone Dantas, Dieter Rautenbach

For a set of graphs, an instance of the -{\sc free Sandwich Problem} is a pair consisting of two graphs and with the same vertex set su…

math.CO2017★ 1 cited

Degenerate Matchings and Edge Colorings

Julien Baste, Dieter Rautenbach

A matching in a graph is -degenerate if the subgraph of induced by the set of vertices incident with an edge in is -degenerate. Goddard, Hedetniemi, Hedetniem…