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87
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WG
1998
Springer
15 years 1 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
93
Voted
JGT
2008
91views more  JGT 2008»
14 years 9 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
WG
2000
Springer
15 years 1 months ago
Networks with Small Stretch Number
: In a previous work, the authors introduced the class of graphs with bounded induced distance of order k, (BID(k) for short) to model non-reliable interconnection networks. A netw...
Serafino Cicerone, Gabriele Di Stefano
81
Voted
DMTCS
2010
133views Mathematics» more  DMTCS 2010»
14 years 7 months ago
An improved bound on the largest induced forests for triangle-free planar graphs
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Lukasz Kowalik, Borut Luzar, Riste Skrekovski
WG
2005
Springer
15 years 3 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood