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» The Number of Independent Sets in a Regular Graph
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ICALP
2009
Springer
16 years 6 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
CORR
2011
Springer
215views Education» more  CORR 2011»
14 years 9 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
COCOON
2009
Springer
16 years 19 days ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch
GD
2003
Springer
15 years 11 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
DAM
2008
115views more  DAM 2008»
15 years 6 months ago
Variable space search for graph coloring
Let G = (V, E) be a graph with vertex set V and edge set E. The k-coloring problem is to assign a color (a number chosen in {1, . . . , k}) to each vertex of G so that no edge has...
Alain Hertz, Matthieu Plumettaz, Nicolas Zufferey