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» Graph parameters and semigroup functions
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EJC
2008
13 years 4 months ago
Graph parameters and semigroup functions
Abstract. We prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (`reflection posit...
László Lovász, Alexander Schr...
COMBINATORICS
2007
105views more  COMBINATORICS 2007»
13 years 4 months ago
A Two Parameter Chromatic Symmetric Function
We introduce and develop a two-parameter chromatic symmetric function for a simple graph G over the field of rational functions in q and t , Q (q, t). We derive its expansion in ...
Ellison-Anne Williams
LATIN
2004
Springer
13 years 10 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
ICALP
2003
Springer
13 years 9 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
STACS
2009
Springer
13 years 11 months ago
Approximating Acyclicity Parameters of Sparse Hypergraphs
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...