For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
Attempts to solve the famous Four Color Problem led to fruitful discoveries and rich coloring theories. In this talk, some old and some recent applications of tools from topology ...
We consider traveling salesman problems (TSPs) with a permuted Monge matrix as cost matrix where the associated patching graph has a specially simple structure: a multistar, a mult...
Rainer E. Burkard, Vladimir G. Deineko, Gerhard J....
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...