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» The Complexity of Graph Connectivity
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DM
2002
104views more  DM 2002»
13 years 10 months ago
4-connected maximal planar graphs are 4-ordered
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the or...
Wayne Goddard
OL
2011
242views Neural Networks» more  OL 2011»
13 years 5 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
WG
1998
Springer
14 years 2 months ago
Graphs with Bounded Induced Distance
In this work we introduce the class of graphs with bounded induced distance of order k, (BID(k) for short). A graph G belongs to BID(k) if the distance between any two nodes in ev...
Serafino Cicerone, Gabriele Di Stefano
KDD
2005
ACM
127views Data Mining» more  KDD 2005»
14 years 3 months ago
Mining closed relational graphs with connectivity constraints
Relational graphs are widely used in modeling large scale networks such as biological networks and social networks. In this kind of graph, connectivity becomes critical in identif...
Xifeng Yan, Xianghong Jasmine Zhou, Jiawei Han
DM
2010
132views more  DM 2010»
13 years 10 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