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» Conditional colorings of graphs
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IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
16 years 29 days ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
SIAMCO
2008
81views more  SIAMCO 2008»
15 years 6 months ago
Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach
This paper presents new graph-theoretic results appropriate to the analysis of a variety of consensus problems cast in dynamically changing environments. The concepts of rooted, s...
Ming Cao, A. Stephen Morse, Brian D. O. Anderson
JGT
2008
88views more  JGT 2008»
15 years 6 months ago
On minimum sets of 1-factors covering a complete multipartite graph
We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
David Cariolaro, Hung-Lin Fu
DM
2002
107views more  DM 2002»
15 years 6 months ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
SASO
2008
IEEE
16 years 24 days ago
Towards Desynchronization of Multi-hop Topologies
In this paper we study desynchronization, a closelyrelated primitive to graph coloring. A valid graph coloring is an assignment of colors to nodes such that no node’s color is t...
Julius Degesys, Radhika Nagpal