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ENDM
2000
131views more  ENDM 2000»
15 years 6 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
COMBINATORICS
2000
81views more  COMBINATORICS 2000»
15 years 6 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
190
Voted
ENDM
2002
107views more  ENDM 2002»
15 years 6 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
PROPERTYTESTING
2010
15 years 4 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
187
Voted
CORR
2011
Springer
170views Education» more  CORR 2011»
15 years 1 months ago
Better Bounds for Incremental Frequency Allocation in Bipartite Graphs
We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain nu...
Marek Chrobak, Lukasz Jez, Jiri Sgall