Evasiveness of Subgraph Containment and Related Properties

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Evasiveness of Subgraph Containment and Related Properties

We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the property of containing a subgraph isomorphic to a fixed graph, and a fairly large class of related n-vertex graph properties, we show evasiveness for an arithmetic progression of values of n. This implies a 1 2 n2 −O(n) lower ...

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These notes cover the first eight lectures of the class Many Models of Complexity taught by László Lovász at Princeton University in the Fall of 1990. The first eight lectures were on evasiveness of graph properties and related topics; subsequent lectures were on communication complexity and Kolmogorov complexity and are covered in other sets of notes. The fundamental question considered in the...

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ژورنال

عنوان ژورنال: SIAM Journal on Computing

سال: 2001

ISSN: 0097-5397,1095-7111

DOI: 10.1137/s0097539700382005