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» Sums of powers of the degrees of a graph
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AINA
2010
IEEE
15 years 4 months ago
The Power of Orientation in Symmetry-Breaking
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Satya Krishna Pindiproli, Kishore Kothapalli
ESA
2007
Springer
140views Algorithms» more  ESA 2007»
15 years 5 months ago
On Minimum Power Connectivity Problems
Given a (directed or undirected) graph with edge costs, 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 its n...
Yuval Lando, Zeev Nutov
CORR
2010
Springer
198views Education» more  CORR 2010»
14 years 8 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
ARSCOM
2002
70views more  ARSCOM 2002»
14 years 11 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...
CAAN
2007
Springer
15 years 5 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang