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Article #1957

Maze searching problem

#1957
From: Alexander Siegel
Date: Wed, 06 Apr 1988 15:07
21 lines
1303 bytes
You are given a graph.  Each graph in the maze is labelled with a name
of size O(log n).  The graph has the following properties:
	1. Each edge is labelled with an arrow but it can be traversed
		either direction.
	2. The directed graph formed by the arrows is acyclic, and the
		in and out-degree if each vertex is at most 2.
	3. One vertex is the start and one is the goal.

The problem is determine whether the goal is reachable from the start
within an O(log n) space bound and no time bound.

Note: an equivalent problem is to produce a new graph such that the only
	vertex with in-degree 0 is the start, and the head can only move
	to the right on the output tape.
-- 
Alex Siegel
(607)255-1165 (Low Bandwidth Audio)
4161 Upson Hall, Cornell University, Ithaca NY  14853 (Hard Copy)
siegel@svax.cs.cornell.edu (ARPAnet)
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From: siegel@svax.cs.cornell.edu (Alexander Siegel)
Newsgroups: comp.theory
Subject: Maze searching problem
Message-ID: <2119@svax.cs.cornell.edu>
Date: 6 Apr 88 15:07:05 GMT
Organization: Cornell Univ. CS Dept. Ithaca NY
Lines: 21
Keywords: maze, space bound