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GC
2002
Springer
15 years 4 months ago
The Hilbert Series of the Face Ring of a Flag Complex
It is shown that the Hilbert series of the face ring of a clique complex (equivalently, flag complex) of a graph G is, up to a factor, just a specialization of SG (x, y), the subg...
Paul Renteln
TCS
2010
14 years 12 months ago
Non-confluence in divisionless P systems with active membranes
We describe a solution to the SAT problem via non-confluent P systems with active membranes, without using membrane division rules. Furthermore, we provide an algorithm for simula...
Antonio E. Porreca, Giancarlo Mauri, Claudio Zandr...
BIRTHDAY
2010
Springer
15 years 6 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
154
Voted
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
16 years 5 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
15 years 11 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret