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» On the Queue Number of Planar Graphs
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DM
1998
83views more  DM 1998»
14 years 9 months ago
The basis number of the powers of the complete graph
A basis of the cycle space C(G) of a graph G is h-fold if each edge of G occurs in at most h cycles of the basis. The basis number b(G) of G is the least integer h such that C(G) ...
Salar Y. Alsardary, Jerzy Wojciechowski
ENDM
2000
131views more  ENDM 2000»
14 years 9 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
71
Voted
JGT
2008
77views more  JGT 2008»
14 years 9 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
GD
2007
Springer
15 years 3 months ago
Moving Vertices to Make Drawings Plane
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
Xavier Goaoc, Jan Kratochvíl, Yoshio Okamot...
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
15 years 3 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan