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A Tight Upper Bound on the Probabilistic Embedding of Series-Parallel Graphs

โœ Scribed by Emek, Yuval; Peleg, David


Book ID
118197062
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
258 KB
Volume
23
Category
Article
ISSN
0895-4801

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๐Ÿ“œ SIMILAR VOLUMES


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A graph 1 is parity embedded in a surface if a closed path in the graph is orientation preserving or reversing according to whether its length is even or odd. The parity demigenus of 1 is the minimum of 2&/(S) (where / is the Euler characteristic) over all surfaces S in which 1 can be parity embedde

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Given a finite graph G=( V, E), what is the minimum number c(G) of incidence tests which are needed in the worst case to identify an unknown edge e\*EE? The number c(G) was first studied by Aigner and Triesch (1988), where it was shown that for almost all graphs in the random graph model where d(n)