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symmetry of grid using grap theory

• To: mathgroup at smc.vnet.net
• Subject: [mg45428] symmetry of grid using grap theory
• From: strongton at hotmail.com (shawnton)
• Date: Wed, 7 Jan 2004 01:09:26 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Is there any theory or method in graph theory to prove whether or not
a graph is symmeterical, and locate the lines of symmetry.

for example i have the graph defined by the adjacency matrix A and the
coordinates of the nodes are listed in V, how do i determine the lines
of symmetry if any???