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» Connectivity of addable graph classes
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DM
2006
107views more  DM 2006»
13 years 7 months ago
On a new reformulation of Hadwiger's conjecture
Assuming that every proper minor closed class of graphs contains a maximum with respect to the homomorphism order, we prove that such a maximum must be homomorphically equivalent ...
Reza Naserasr, Yared Nigussie
CSR
2008
Springer
13 years 9 months ago
From Invariants to Canonization in Parallel
A function f of a graph is called a complete graph invariant if two given graphs G and H are isomorphic exactly when f(G) = f(H). If additionally, f(G) is a graph isomorphic to G, ...
Johannes Köbler, Oleg Verbitsky
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
13 years 7 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche
TCS
2008
13 years 7 months ago
Succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
CAS
2008
118views more  CAS 2008»
13 years 7 months ago
A Novel Method for Measuring the Structural Information Content of Networks
In this paper we first present a novel approach to determine the structural information content (graph entropy) of a network represented by an undirected and connected graph. Such...
Matthias Dehmer