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DAM
2008
74views more  DAM 2008»
14 years 9 months ago
A distributional study of the path edge-covering numbers for random trees
Abstract. We study for various tree families the distribution of the number of edgedisjoint paths required to cover the edges of a random tree of size n. For all tree families cons...
Alois Panholzer
FCT
2009
Springer
15 years 4 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
DAM
2007
81views more  DAM 2007»
14 years 9 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
MM
2004
ACM
100views Multimedia» more  MM 2004»
15 years 3 months ago
Userradio
— UserRadio mixes the new technologies of personal communication with “old” broadcast radio technology. It is a set of tools for collaborative networked audio production, whe...
August Black