Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, September 28, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Michael Hoffmann

Chordless Paths and Cycles

Given a simple undirected graph G=(V,E), a positive integer k, and three distinct vertices s, t, and v from V, is there a chordless path from s via v to t in G that consists of at most k vertices? In a chordless path, no two vertices are connected by an edge that is not in the path. (Such paths are also known as induced paths.)

I will discuss the complexity of this problem that has been raised in the context of service deployment in communication networks. In particular, I will show that it is "unlikely" that this problem can be solved in f(k)*p(n) time, for some arbitrary (e.g., doubly exponential) function f and some polynomial p.

Similar results can be obtained for a number of related problems about chordless paths, for example, for deciding on the existence of a single directed chordless (s,t)-path in a digraph.

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