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DM
2006
82views more  DM 2006»
14 years 14 days ago
On the extension of vertex maps to graph homomorphisms
A reflexive graph is a simple undirected graph where a loop has been added at each vertex. If G and H are reflexive graphs and U V (H), then a vertex map f : U V (G) is called n...
Geir Agnarsson, Li Chen
COCOA
2008
Springer
14 years 2 months ago
Simplicial Powers of Graphs
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Andreas Brandstädt, Van Bang Le
IWPEC
2004
Springer
14 years 5 months ago
Chordless Paths Through Three Vertices
Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Robert Haas, Michael Hoffmann
IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
14 years 7 months ago
Edge-Simple Circuits through 10 Ordered Vertices in Square Grids
A circuit in a simple undirected graph G = (V, E) is a sequence of vertices {v1, v2, . . . , vk+1} such that v1 = vk+1 and {vi, vi+i} ∈ E for i = 1, . . . , k. A circuit C is sai...
David Coudert, Frédéric Giroire, Ign...
CSE
2009
IEEE
14 years 7 months ago
Structure of Neighborhoods in a Large Social Network
Abstract—We present here a method for analyzing the neighborhoods of all the vertices in a large graph. We first give an algorithm for characterizing a simple undirected graph t...
Alina Stoica, Christophe Prieur