270 search results - page 13 / 54 » Diameter bounds for planar graphs |
74
Voted
DAM
2006
14 years 9 months ago
2006
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
FOCS
2009
IEEE
15 years 4 months ago
2009
IEEE
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
LATIN
2010
Springer
15 years 4 months ago
2010
Springer
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
LATA
2009
Springer
15 years 4 months ago
2009
Springer
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
COCO
2007
Springer
15 years 3 months ago
2007
Springer
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...