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» On the hyperbolicity constant in graphs
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MST
2010
98views more  MST 2010»
15 years 4 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
PPL
2000
110views more  PPL 2000»
15 years 6 months ago
Faulty Random Geometric Networks
In this paper we analyze the computational power of random geometric networks in the presence of random (edge or node) faults considering several important network parameters. We ...
Josep Díaz, Jordi Petit, Maria J. Serna
CSR
2008
Springer
15 years 8 months ago
From Invariants to Canonization in Parallel
A function f of a graph is called a complete graph invariant if two given graphs G and H are isomorphic exactly when f(G) = f(H). If additionally, f(G) is a graph isomorphic to G, ...
Johannes Köbler, Oleg Verbitsky
TIT
1998
79views more  TIT 1998»
15 years 5 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård
FCT
2005
Springer
15 years 11 months ago
Reconstructing Many Partitions Using Spectral Techniques
A partitioning of a set of n items is a grouping of these items into k disjoint, equally sized classes. Any partition can be modeled as a graph. The items become the vertices of th...
Joachim Giesen, Dieter Mitsche