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» Inducing Temporal Graphs
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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
92
Voted
JGAA
2007
142views more  JGAA 2007»
14 years 9 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
DAM
2008
123views more  DAM 2008»
14 years 9 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...
EJC
2010
14 years 9 months ago
On graphs isomorphic to their neighbour and non-neighbour sets
The paper contains a construction of a universal countable graph, different from the Rado graph, such that for any of its vertices both the neighbourhood and the non-neighbourhood ...
Przemyslaw Gordinowicz
ARSCOM
2008
103views more  ARSCOM 2008»
14 years 9 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler