Analysis of backtrack algorithms for listing all vertices and all faces of a convex polyhedron
Publications associées (38)
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Society for Industrial and Applied Mathematics2016
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EPFL2014
Determining the size of a maximum independent set of a graph G, denoted by alpha(G), is an NP-hard problem. Therefore many attempts are made to find upper and lower bounds, or exact values of alpha(G) for special classes of graphs. This paper is aimed towa ...
Charles Babbage Res Ctr2016
The security of public-key cryptography relies on well-studied hard problems, problems for which we do not have efficient algorithms. Factorization and discrete logarithm are the two most known and used hard problems. Unfortunately, they can be easily solv ...
EPFL2017
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We derive a new upper bound on the diameter of a polyhedron , where . The bound is polynomial in and the largest absolute value of a sub-determinant of , denoted by . More precisely, we show that the diameter of is bounded by . If is bounded, then we show ...
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In this paper we deal with the critical node problem (CNP), i.e., the problem of searching for a given number K of nodes in a graph G, whose removal minimizes the (weighted or unweighted) number of connections between pairs of nodes in the residual graph. ...
The goal of this project is to develop a new heuristic for pseudo-tree regeneration in S-DPOP. S-DPOP is a version of DPOP which should show performance improvements when resolving problems after small changes. Examples of such problems are: tracking movin ...
