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FOCS
2002
IEEE

Global Information from Local Observation

13 years 8 months ago
Global Information from Local Observation
We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph. For example, what do you know about a graph based on observing the returns of a random walk to a given node? Our main result concerns a graph embedded in an orientable surface with genus g, and a process, consisting of random excitations of edges and random balancing around nodes and faces. It is shown how to obtain the genus of the surface in polynomial time from local observations of the process restricted to a connected subgraph whose size is (essentially) O(g2).
Itai Benjamini, László Lovász
Added 14 Jul 2010
Updated 14 Jul 2010
Type Conference
Year 2002
Where FOCS
Authors Itai Benjamini, László Lovász
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