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» The Number of Labeled 2-Connected Planar Graphs
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ENDM
2008
114views more  ENDM 2008»
13 years 5 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
RSA
2010
64views more  RSA 2010»
13 years 3 months ago
Vertices of given degree in series-parallel graphs
We show that the number of vertices of a given degree k in several kinds of series-parallel labelled graphs of size n satisfy a central limit theorem with mean and variance proport...
Michael Drmota, Omer Giménez, Marc Noy
APPML
2007
101views more  APPML 2007»
13 years 5 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
13 years 9 months ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu
IWDC
2005
Springer
156views Communications» more  IWDC 2005»
13 years 10 months ago
Labeling Schemes for Tree Representation
This paper deals with compact label-based representations for trees. Consider an n-node undirected connected graph G with a predefined numbering on the ports of each node. The al...
Reuven Cohen, Pierre Fraigniaud, David Ilcinkas, A...