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» The complexity of counting graph homomorphisms
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COCO
2007
Springer
87views Algorithms» more  COCO 2007»
14 years 1 months ago
Parity Problems in Planar Graphs
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
Mark Braverman, Raghav Kulkarni, Sambuddha Roy
BIRTHDAY
2010
Springer
13 years 8 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 7 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
CONCUR
2011
Springer
12 years 7 months ago
Tractable Reasoning in a Fragment of Separation Logic
Abstract. In 2004, Berdine, Calcagno and O’Hearn introduced a fragment of separation logic that allows for reasoning about programs with pointers and linked lists. They showed th...
Byron Cook, Christoph Haase, Joël Ouaknine, M...
STOC
2009
ACM
145views Algorithms» more  STOC 2009»
14 years 8 months ago
Finding, minimizing, and counting weighted subgraphs
d Abstract] Virginia Vassilevska School of Mathematics Institute for Advanced Study Princeton, NJ 08540 USA virgi@math.ias.edu Ryan Williams School of Mathematics Institute for Adv...
Virginia Vassilevska, Ryan Williams