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» Cycles, Paths, Connectivity and Diameter in Distance Graphs
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DM
2008
95views more  DM 2008»
13 years 7 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»
14 years 1 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»
13 years 11 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»
13 years 6 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»
13 years 7 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