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» On Bounds for the k-Partitioning of Graphs
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EJC
2008
14 years 10 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez
DM
2007
149views more  DM 2007»
14 years 10 months ago
Even subgraphs of bridgeless graphs and 2-factors of line graphs
By Petersen’s theorem, a bridgeless cubic multigraph has a 2-factor. H. Fleischner generalised this result to bridgeless multigraphs of minimum degree at least three by showing ...
Bill Jackson, Kiyoshi Yoshimoto
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
14 years 12 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
FOCS
1993
IEEE
15 years 2 months ago
On Bounded Queries and Approximation
This paper investigates the computational complexity of approximating several NPoptimization problems using the number of queries to an NP oracle as a complexity measure. The resu...
Richard Chang, William I. Gasarch
78
Voted
CORR
2006
Springer
166views Education» more  CORR 2006»
14 years 10 months ago
Bounding the Bias of Tree-Like Sampling in IP Topologies
Abstract. It is widely believed that the Internet's AS-graph degree distribution obeys a power-law form. However, it was recently argued that since Internet data is collected ...
Reuven Cohen, Mira Gonen, Avishai Wool