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FCT
2007
Springer
15 years 3 months ago
Path Algorithms on Regular Graphs
We consider standard algorithms of finite graph theory, like for instance shortest path algorithms. We present two general methods to polynomially extend these algorithms to infi...
Didier Caucal, Dinh Trong Hieu
EJC
2010
14 years 9 months ago
Rank-width and tree-width of H-minor-free graphs
We prove that for any fixed r 2, the tree-width of graphs not containing Kr as a topological minor (resp. as a subgraph) is bounded by a linear (resp. polynomial) function of the...
Fedor V. Fomin, Sang-il Oum, Dimitrios M. Thilikos
COMGEO
2004
ACM
14 years 9 months ago
Proximity drawings in polynomial area and volume
We introduce a novel technique for drawing proximity graphs in polynomial area and volume. Previously known algorithms produce representations whose size increases exponentially w...
Paolo Penna, Paola Vocca
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 1 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
CPC
2004
66views more  CPC 2004»
14 years 9 months ago
Two Results on Real Zeros of Chromatic Polynomials
This note presents two results on real zeros of chromatic polynomials. The first result states that if G is a graph containing a q-tree as a spanning subgraph, then the chromatic ...
Feng Ming Dong, Khee Meng Koh