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CPC
2008
65views more  CPC 2008»
13 years 7 months ago
The Distribution of Patterns in Random Trees
Let Tn denote the set of unrooted labeled trees of size n and let M be a particular (finite, unlabeled) tree. Assuming that every tree of Tn is equally likely, it is shown that the...
Frédéric Chyzak, Michael Drmota, Tho...
CPC
2008
53views more  CPC 2008»
13 years 7 months ago
G-Intersection Theorems for Matchings and Other Graphs
If G is a graph with vertex set [n] then A 2[n] is G-intersecting if for all A, B A either A B = or there exist a A and b B such that a G b. The question of how large a k-un...
J. Robert Johnson, John M. Talbot
CPC
2006
92views more  CPC 2006»
13 years 7 months ago
Increments of Random Partitions
For any partition of {1, 2, . . . , n} we define its increments Xi, 1 i n by Xi = 1 if i is the smallest element in the partition block that contains it, Xi = 0 otherwise. We pr...
Serban Nacu
CPC
2006
93views more  CPC 2006»
13 years 7 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
CPC
2006
132views more  CPC 2006»
13 years 7 months ago
Duality in Infinite Graphs
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...
Henning Bruhn, Reinhard Diestel