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» On Finding the Number of Graph Automorphisms
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ARSCOM
2008
103views more  ARSCOM 2008»
13 years 7 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 7 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...
COCOON
2005
Springer
14 years 1 months ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
MFCS
2007
Springer
14 years 1 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda