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TCS
2011
13 years 2 months ago
Computing minimum distortion embeddings into a path for bipartite permutation graphs and threshold graphs
The problem of computing minimum distortion embeddings of a given graph into a line (path) was introduced in 2004 and has quickly attracted significant attention with subsequent ...
Pinar Heggernes, Daniel Meister, Andrzej Proskurow...
SIAMDM
2010
91views more  SIAMDM 2010»
13 years 2 months ago
Embedding into Bipartite Graphs
Abstract. The conjecture of Bollob
Julia Böttcher, Peter Heinig, Anusch Taraz
DM
2007
98views more  DM 2007»
13 years 7 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
IPL
2010
115views more  IPL 2010»
13 years 6 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
IPL
2007
130views more  IPL 2007»
13 years 7 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente