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COMBINATORICA
2008
130views more  COMBINATORICA 2008»
15 years 6 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
15 years 6 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
GD
1998
Springer
15 years 11 months ago
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
TALG
2008
97views more  TALG 2008»
15 years 6 months ago
On an infinite family of solvable Hanoi graphs
The Tower of Hanoi problem is generalized by placing pegs on the vertices of a given directed graph G with two distinguished vertices, S and D, and allowing moves only along arcs o...
Dany Azriel, Noam Solomon, Shay Solomon
COMBINATORICA
2008
78views more  COMBINATORICA 2008»
15 years 6 months ago
Optimal strong parity edge-coloring of complete graphs
A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G havi...
David P. Bunde, Kevin Milans, Douglas B. West, Heh...