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WG
2004
Springer
15 years 11 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
IM
2006
15 years 6 months ago
Protean Graphs
We propose a new random model of web graphs in which the degree of a vertex depends on its age. We characterize the degree sequence of this model and study its behaviour near the c...
Tomasz Luczak, Pawel Pralat
JCT
2008
57views more  JCT 2008»
15 years 6 months ago
Invariant boundary distributions for finite graphs
Let be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary of the universal covering tree is an M-valued measure defin...
Guyan Robertson
SIAMDM
2008
86views more  SIAMDM 2008»
15 years 5 months ago
Hamilton Cycles in Planar Locally Finite Graphs
A classical theorem by Tutte assures the existence of a Hamilton cycle in every finite 4-connected planar graph. Extensions of this result to infinite graphs require a suitable co...
Henning Bruhn, Xingxing Yu
ECHT
1992
15 years 10 months ago
Gram: A Graph Data Model and Query Language
We present a model for data organized as graphs. Regular expressions over the types of the node and edge labels are used to qualify connected subgraphs. An algebraic language base...
Bernd Amann, Michel Scholl