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EJC
2008
13 years 7 months ago
Eriksson's numbers game and finite Coxeter groups
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to i...
Robert G. Donnelly
TALG
2008
67views more  TALG 2008»
13 years 7 months ago
Structure and linear-time recognition of 4-leaf powers
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is a k-le...
Andreas Brandstädt, Van Bang Le, R. Sritharan
EJC
2008
13 years 7 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
JSYML
2010
120views more  JSYML 2010»
13 years 2 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 6 months ago
Fractional Repetition Codes for Repair in Distributed Storage Systems
Abstract—We introduce a new class of exact MinimumBandwidth Regenerating (MBR) codes for distributed storage systems, characterized by a low-complexity uncoded repair process tha...
Salim Y. El Rouayheb, Kannan Ramchandran