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COMBINATORICS
2006
89views more  COMBINATORICS 2006»
13 years 7 months ago
Rainbow H-factors
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Raphael Yuster
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 8 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
DM
2010
78views more  DM 2010»
13 years 7 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 7 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
IROS
2007
IEEE
160views Robotics» more  IROS 2007»
14 years 1 months ago
Task constrained motion planning in robot joint space
— We explore global randomized joint space path planning for articulated robots that are subject to task space constraints. This paper describes a representation of constrained m...
Mike Stilman