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» Complexity of the Cover Polynomial
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TCS
2010
13 years 8 months ago
Non-cooperative facility location and covering games
Abstract. We study a general class of non-cooperative games coming from combinatorial covering and facility location problems. A game for k players is based on an integer programmi...
Jean Cardinal, Martin Hoefer
EJC
2000
13 years 9 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund
CSL
2008
Springer
13 years 11 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 10 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
ICASSP
2011
IEEE
13 years 1 months ago
Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomial-complexity solvability and algorithmic developments
The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. Howeve...
Anastasios T. Kyrillidis, George N. Karystinos