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» Cycles of given length in oriented graphs
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FOCS
2002
IEEE
14 years 15 days ago
Optimal System of Loops on an Orientable Surface
Every compact orientable boundaryless surface M can be cut along simple loops with a common point v0, pairwise disjoint except at v0, so that the resulting surface is a topologica...
Éric Colin de Verdière, Francis Laza...
DM
2010
132views more  DM 2010»
13 years 7 months ago
Diameter and connectivity of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Martin Knor, Sanming Zhou
FOCS
2003
IEEE
14 years 25 days ago
Approximation Algorithms for Orienteering and Discounted-Reward TSP
In this paper, we give the rst constant-factor approximationalgorithmfor the rooted Orienteering problem, as well as a new problem that we call the Discounted-Reward TSP, motivate...
Avrim Blum, Shuchi Chawla, David R. Karger, Terran...
ENDM
2007
68views more  ENDM 2007»
13 years 7 months ago
Detecting induced subgraphs
An s-graph is a graph with two kind of edges: subdivisible edges and real edges. A realisation of an s-graph B is any graph obtained by subdividing subdivisible edges of B into pa...
Benjamin Lévêque, David Y. Lin, Fr&ea...
TCS
2008
13 years 7 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas