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» Weighted Zeta Functions of Graph Coverings
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COMBINATORICS
2006
144views more  COMBINATORICS 2006»
13 years 4 months ago
Weighted Zeta Functions of Graph Coverings
We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted L-functions. Moreover, we give a factorization of the weighte...
Iwao Sato
ICALP
2010
Springer
13 years 6 months ago
Covering and Packing in Linear Space
Abstract. Given a family of subsets of an n-element universe, the kcover problem asks whether there are k sets in the family whose union contains the universe; in the k-packing pro...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
COCOON
2004
Springer
13 years 10 months ago
An Approximation Algorithm for Weighted Weak Vertex Cover Problem in Undirected Graphs
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Yong Zhang, Hong Zhu
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 4 months ago
Trimmed Moebius Inversion and Graphs of Bounded Degree
We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius ...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
13 years 10 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre