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ARSCOM
2002
53views more  ARSCOM 2002»
13 years 8 months ago
Embedding Graphs Containing K5-Subdivisions
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-subdivision into a K3,3-subdivision if it is possible, or else we obtain a partit...
Andrei V. Gagarin, William Kocay
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 8 months ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
David Hartvigsen
APPML
2007
101views more  APPML 2007»
13 years 8 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
ICOIN
2004
Springer
14 years 1 months ago
On Generating Random Network Structures: Connected Graphs
Abstract. In this paper we present the set of base algorithms for generating connected random graphs (RG). RG can be used for testing different algorithms on networks. The fast al...
Alexey S. Rodionov, Hyunseung Choo
RANDOM
2001
Springer
14 years 26 days ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...