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IPL
2007
74views more  IPL 2007»
13 years 4 months ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack
ICALP
2004
Springer
13 years 10 months ago
A Faster Algorithm for Minimum Cycle Basis of Graphs
Abstract. In this paper we consider the problem of computing a minimum cycle basis in a graph G with m edges and n vertices. The edges of G have non-negative weights on them. The p...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
WEA
2005
Springer
98views Algorithms» more  WEA 2005»
13 years 10 months ago
Implementing Minimum Cycle Basis Algorithms
Abstract. In this paper we consider the problem of computing a minimum cycle basis of an undirected graph G = (V, E) with n vertices and m edges. We describe an efficient implement...
Kurt Mehlhorn, Dimitrios Michail
STACS
2005
Springer
13 years 10 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn
STACS
2007
Springer
13 years 11 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
ICRA
2009
IEEE
103views Robotics» more  ICRA 2009»
13 years 11 months ago
Finding good cycle constraints for large scale multi-robot SLAM
Abstract— In this paper we describe an algorithm to compute cycle constraints that can be used in many graph-based SLAM algorithms; we exemplify it in Hierarchical SLAM. Our algo...
Carlos Estrada, José Neira, Juan D. Tard&oa...