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» Pathwidth of outerplanar graphs
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JDA
2006
87views more  JDA 2006»
13 years 7 months ago
A 3-approximation for the pathwidth of Halin graphs
We prove that the pathwidth of Halin graphs can be 3-approximated in linear time. Our approximation algorithms is based on a combinatorial result about respectful edge orderings o...
Fedor V. Fomin, Dimitrios M. Thilikos
APPROX
2010
Springer
220views Algorithms» more  APPROX 2010»
13 years 9 months ago
Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
IWPEC
2004
Springer
14 years 21 days ago
Online Problems, Pathwidth, and Persistence
Abstract. We explore the effects of using graph width metrics as restrictions on the input to online problems. It seems natural to suppose that, for graphs having some form of bou...
Rodney G. Downey, Catherine McCartin
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 9 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 1 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian