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» Random graphs with forbidden vertex degrees
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IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
13 years 11 months 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
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 5 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
IM
2006
13 years 5 months ago
Protean Graphs
We propose a new random model of web graphs in which the degree of a vertex depends on its age. We characterize the degree sequence of this model and study its behaviour near the c...
Tomasz Luczak, Pawel Pralat
CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 27 days ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge
JCT
2007
108views more  JCT 2007»
13 years 5 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze