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» Sums of powers of the degrees of a graph
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CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 7 months ago
The Degree Distribution of Random k-Trees
A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
Yong Gao
IPL
2007
114views more  IPL 2007»
13 years 7 months ago
Spanning trees with minimum weighted degrees
Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...
CPC
1998
123views more  CPC 1998»
13 years 7 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
DM
2002
83views more  DM 2002»
13 years 7 months ago
Pancyclicity in claw-free graphs
In this paper, we present several conditions for K1,3-free graphs, which guarantee the graph is subpancyclic. In particular, we show that every K1,3-free graph with minimum degree...
Ronald J. Gould, Florian Pfender
MP
2007
100views more  MP 2007»
13 years 7 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...