144 search results - page 3 / 29 » On the maximum number of edges in quasi-planar graphs |
COMBINATORICA
2008
14 years 9 months ago
2008
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
ORL
2008
14 years 9 months ago
2008
The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a sp...
COMBINATORICS
2007
14 years 9 months ago
2007
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
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ALGORITHMICA
2002
14 years 9 months ago
2002
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
CATS
2006
14 years 11 months ago
2006
We study the problem of orienting the edges of a weighted graph such that the maximum weighted outdegree of vertices is minimized. This problem, which has applications in the guar...