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COMBINATORICS
2006
89views more  COMBINATORICS 2006»
14 years 10 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»
14 years 11 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»
14 years 10 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»
14 years 10 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»
15 years 4 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