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» Cycles, Paths, Connectivity and Diameter in Distance Graphs
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DM
2008
95views more  DM 2008»
15 years 1 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...
IROS
2006
IEEE
104views Robotics» more  IROS 2006»
15 years 7 months ago
Coverage Diameters of Polygons
— This paper formalizes and proposes an algorithm to compute coverage diameters of polygons in 2D. Roughly speaking, the coverage diameter of a polygon is the longest possible di...
Pawin Vongmasa, Attawith Sudsang
SWAT
1994
Springer
130views Algorithms» more  SWAT 1994»
15 years 5 months ago
Dominating Cliques in Distance-Hereditary Graphs
A graph is distance-hereditary if and only if each cycle on five or more vertices has at least two crossing chords. We present linear time algorithms for the minimum r-dominating c...
Feodor F. Dragan
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
14 years 12 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
CMOT
2004
141views more  CMOT 2004»
15 years 1 months ago
Small Worlds Among Interlocking Directors: Network Structure and Distance in Bipartite Graphs
We describe a methodology to examine bipartite relational data structures as exemplified in networks of corporate interlocking. These structures can be represented as bipartite gr...
Garry Robins, Malcolm Alexander