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» Characterizing path graphs by forbidden induced subgraphs
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EJC
1998
13 years 7 months ago
A Convexity Lemma and Expansion Procedures for Bipartite Graphs
A hierarchy of classes of graphs is proposed which includes hypercubes, acyclic cubical complexes, median graphs, almost median graphs, premedian graphs and partial cubes. Structu...
Wilfried Imrich, Sandi Klavzar
AAIM
2009
Springer
118views Algorithms» more  AAIM 2009»
14 years 1 months ago
A More Relaxed Model for Graph-Based Data Clustering: s-Plex Editing
We introduce the s-Plex Editing problem generalizing the well-studied Cluster Editing problem, both being NP-hard and both being motivated by graph-based data clustering. Instead o...
Jiong Guo, Christian Komusiewicz, Rolf Niedermeier...
DAM
1999
99views more  DAM 1999»
13 years 7 months ago
Recognizing Graphs of Acyclic Cubical Complexes
Acyclic cubical complexes have first been introduced by Bandelt and Chepoi in analogy to acyclic simplicial complexes. They characterized them by cube contraction and elimination ...
Wilfried Imrich, Sandi Klavzar
WG
2009
Springer
14 years 1 months ago
Sub-coloring and Hypo-coloring Interval Graphs
In this paper, we study the sub-coloring and hypo-coloring problems on interval graphs. These problems have applications in job scheduling and distributed computing and can be used...
Rajiv Gandhi, Bradford Greening, Sriram V. Pemmara...
ARSCOM
2008
103views more  ARSCOM 2008»
13 years 7 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