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CPC
2007
88views more  CPC 2007»
13 years 7 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
STOC
1993
ACM
121views Algorithms» more  STOC 1993»
13 years 11 months ago
On the generation of multivariate polynomials which are hard to factor
In this paper we consider the di culty of factoring multivariate polynomials F(x y z :::) modulo n. We consider in particular the case in which F is a product of two randomly chose...
Adi Shamir
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
14 years 4 days ago
Communication Complexity Lower Bounds by Polynomials
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
Harry Buhrman, Ronald de Wolf
CORR
2002
Springer
144views Education» more  CORR 2002»
13 years 7 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
13 years 9 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...