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CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
GD
2004
Springer
14 years 12 days ago
Computing Radial Drawings on the Minimum Number of Circles
A radial drawing is a representation of a graph in which the vertices lie on concentric circles of finite radius. In this paper we study the problem of computing radial drawings ...
Emilio Di Giacomo, Walter Didimo, Giuseppe Liotta,...
FOCS
2006
IEEE
14 years 1 months ago
A simple condition implying rapid mixing of single-site dynamics on spin systems
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
Thomas P. Hayes
LATA
2009
Springer
14 years 1 months ago
Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
Bruno Courcelle
COCOON
2003
Springer
14 years 7 days ago
Graph Coloring and the Immersion Order
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Faisal N. Abu-Khzam, Michael A. Langston