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» The Number of Labeled 2-Connected Planar Graphs
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ENDM
2008
114views more  ENDM 2008»
14 years 11 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»
14 years 10 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»
14 years 12 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»
15 years 4 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»
15 years 5 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...