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DM
2000
82views more  DM 2000»
13 years 7 months ago
On special numberings of hypergraphs
Generalizing a result of Bodendiek and Burosch on graphs it is proved that every vertex-simple
Günter Schaar
ALGORITHMICA
2011
13 years 2 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
SWAT
2010
Springer
260views Algorithms» more  SWAT 2010»
14 years 28 days ago
Isomorphism for Graphs of Bounded Feedback Vertex Set Number
This paper presents an O(n2 ) algorithm for deciding isomorphism of graphs that have bounded feedback vertex set number. This number is defined as the minimum number of vertex de...
Stefan Kratsch, Pascal Schweitzer
IWPEC
2010
Springer
13 years 5 months ago
On the Grundy Number of a Graph
The Grundy number of a graph G, denoted by (G), is the largest k such that G has a greedy k-colouring, that is a colouring with k colours obtained by applying the greedy algorithm ...
Frédéric Havet, Leonardo Sampaio
COCOON
2007
Springer
14 years 2 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...