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JGT
2010
135views more  JGT 2010»
13 years 6 months ago
Cycle length parities and the chromatic number
In 1966 Erd˝os and Hajnal proved that the chromatic number of graphs whose
Christian Löwenstein, Dieter Rautenbach, Ingo...
JSYML
2008
100views more  JSYML 2008»
13 years 7 months ago
Measurable chromatic numbers
We show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three...
Benjamin D. Miller
TCS
2010
13 years 6 months ago
Euclidean TSP on two polygons
We give an O(n2 m + nm2 + m2 log m) time and O(n2 + m2 ) space algorithm for finding the shortest traveling salesman tour through the vertices of two simple polygonal obstacles i...
Jeff Abrahamson, Ali Shokoufandeh
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 8 months ago
The Degree Distribution of Random k-Trees
A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
Yong Gao
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