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CPC
2006
93views more  CPC 2006»
15 years 4 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
JGT
2008
107views more  JGT 2008»
15 years 4 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
ENDM
2000
131views more  ENDM 2000»
15 years 4 months ago
Some Topological Methods in Graph Coloring Theory
Attempts to solve the famous Four Color Problem led to fruitful discoveries and rich coloring theories. In this talk, some old and some recent applications of tools from topology ...
Bojan Mohar
118
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COMBINATORICS
2000
81views more  COMBINATORICS 2000»
15 years 4 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler
ENDM
2002
107views more  ENDM 2002»
15 years 4 months ago
Edge-Colorings of Complete Graphs that Avoid Polychromatic Trees
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
Tao Jiang, Douglas B. West