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» On Planar Quasi-Parity Graphs
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DIMACS
1996
15 years 8 months ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
175
Voted
ARSCOM
2002
53views more  ARSCOM 2002»
15 years 6 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
APPML
2007
101views more  APPML 2007»
15 years 6 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
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
15 years 6 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh
SOFSEM
2007
Springer
16 years 26 days ago
Competitive Maintenance of Minimum Spanning Trees in Dynamic Graphs
Abstract. We consider the problem of maintaining a minimum spanning tree within a graph with dynamically changing edge weights. An online algorithm is confronted with an input sequ...
Miroslaw Dynia, Miroslaw Korzeniowski, Jaroslaw Ku...