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DM
2006
103views more  DM 2006»
13 years 11 months ago
Bounds on the forcing numbers of bipartite graphs
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
Seth Kleinerman
DM
2006
91views more  DM 2006»
13 years 11 months ago
Fast perfect sampling from linear extensions
In this paper, we study the problem of sampling (exactly) uniformly from the set of linear extensions of an arbitrary partial order. Previous Markov chain techniques have yielded ...
Mark Huber
DM
2006
60views more  DM 2006»
13 years 11 months ago
Extended directed triple systems
Let {v; b2, b1} denote the class of extended directed triple systems of the order v in which the number of blocks of the form [a, b, a] is b2 and
Wen-Chung Huang
DM
2006
70views more  DM 2006»
13 years 11 months ago
Improving probability bounds by optimization over subsets
The simple device of maximization over subsets of events can provide substantial improvement over the Dawson
Fred M. Hoppe
DM
2006
101views more  DM 2006»
13 years 11 months ago
Cycle double covers and spanning minors II
In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spann...
Roland Häggkvist, Klas Markström
DM
2006
92views more  DM 2006»
13 years 11 months ago
Minimal triangulations of graphs: A survey
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph is called a triangulation of the input graph. In this paper we study minimal tr...
Pinar Heggernes
DM
2006
132views more  DM 2006»
13 years 11 months ago
Recursive fault-tolerance of Fibonacci cube in hypercubes
Fibonacci cube is a subgraph of hypercube induced on vertices without two consecutive 1's. If we remove from Fibonacci cube the vertices with 1 both in the first and the last...
Petr Gregor
DM
2006
143views more  DM 2006»
13 years 11 months ago
Characterization of eccentric digraphs
The eccentric digraph ED(G) of a digraph G represents the binary relation, defined on the vertex set of G, of being `eccentric'; that is, there is an arc from u to v in ED(G)...
Joan Gimbert, Nacho López, Mirka Miller, Jo...
DM
2006
57views more  DM 2006»
13 years 11 months ago
Triangulations of orientable surfaces by complete tripartite graphs
Mike J. Grannell, Terry S. Griggs, Martin Knor, Jo...