63 search results - page 4 / 13 » Probabilistic embeddings of bounded genus graphs into planar... |
STOC
2009
ACM
14 years 8 months ago
2009
ACM
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
ECCC
2010
13 years 5 months ago
2010
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
DM
2010
13 years 7 months ago
2010
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
FOCS
2009
IEEE
14 years 2 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...
ECCC
2007
13 years 7 months ago
2007
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...