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CORR
2007
Springer
97views Education» more  CORR 2007»
13 years 7 months ago
Unfolding Restricted Convex Caps
This paper details an algorithm for unfolding a class of convex polyhedra, where each polyhedron in the class consists of a convex cap over a rectangular base, with several restri...
Joseph O'Rourke
MP
2006
121views more  MP 2006»
13 years 7 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
ENDM
2002
107views more  ENDM 2002»
13 years 7 months ago
Edge-Colorings of Complete Graphs that Avoid Polychromatic Trees
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
Tao Jiang, Douglas B. West
JCT
1998
122views more  JCT 1998»
13 years 7 months ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
JCT
2010
114views more  JCT 2010»
13 years 6 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl