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» The vertex-cover polynomial of a graph
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 2 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ENDM
2007
89views more  ENDM 2007»
14 years 9 months ago
Homomorphisms and Polynomial Invariants of Graphs
This paper initiates a study of the connection between graph homomorphisms and the Tutte polynomial. This connection enables us to extend the study to other important polynomial i...
Delia Garijo, Jaroslav Nesetril, M. P. Revuelta
ISAAC
2005
Springer
153views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Network Game with Attacker and Protector Entities
Consider an information network with harmful procedures called attackers (e.g., viruses); each attacker uses a probability distribution to choose a node of the network to damage. O...
Marios Mavronicolas, Vicky G. Papadopoulou, Anna P...
ECCC
2007
86views more  ECCC 2007»
14 years 9 months ago
Interactive PCP
A central line of research in the area of PCPs is devoted to constructing short PCPs. In this paper, we show that if we allow an additional interactive verification phase, with v...
Yael Tauman Kalai, Ran Raz
CORR
2007
Springer
115views Education» more  CORR 2007»
14 years 9 months ago
FPRAS for computing a lower bound for weighted matching polynomial of graphs
We give a fully polynomial randomized approximation scheme to compute a lower bound for the matching polynomial of any weighted graph at a positive argument. For the matching poly...
Shmuel Friedland