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» Characterizing path graphs by forbidden induced subgraphs
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DAM
2002
76views more  DAM 2002»
14 years 11 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
ISAAC
2007
Springer
111views Algorithms» more  ISAAC 2007»
15 years 5 months ago
Problem Kernels for NP-Complete Edge Deletion Problems: Split and Related Graphs
In an edge deletion problem one is asked to delete at most k edges from a given graph such that the resulting graph satisfies a certain property. In this work, we study four NP-co...
Jiong Guo
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
15 years 6 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
IPL
2007
121views more  IPL 2007»
14 years 11 months ago
Parameterized complexity of the induced subgraph problem in directed graphs
In this paper, we consider the parameterized complexity of the following problem: Given a hereditary property P on digraphs, an input digraph D and a positive integer k, does D ha...
Venkatesh Raman, Somnath Sikdar
WG
2000
Springer
15 years 3 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