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CPC
2007
76views more  CPC 2007»
13 years 11 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...
JUCS
2007
120views more  JUCS 2007»
13 years 10 months ago
Hamiltonicity of Topological Grid Graphs
: In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of th...
Christina Zamfirescu, Tudor Zamfirescu
STOC
1990
ACM
95views Algorithms» more  STOC 1990»
14 years 2 months ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston
CPC
2010
117views more  CPC 2010»
13 years 8 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
EJC
2011
13 years 5 months ago
Distributive lattices, polyhedra, and generalized flows
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
Stefan Felsner, Kolja B. Knauer