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Yep, I found. Build the adjacency matrix for W3.<br> 1) Consider (# ways to choose i vertices), where i=1,2,3,4.<br> 2) Also consider # places for edges in each configuration (with 1, 2, 3, 4 vertices) - build the edge or not (2 choices).<br> 3) Combine these using product & sum rules.<br> Hope it helps<br>--[[User:Asuleime|Asuleime]] 22:45, 5 November 2008 (UTC)
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Yep, I found. Build the adjacency matrix for W3.<br> 1) Consider (# ways to choose i vertices), where i=1,2,3,4.<br> 2) Also consider # places for edges in each configuration (with 1, 2, 3, 4 vertices) - build the edge or not (2 choices).<br> 3) Combine these using product & sum rules of counting.<br> Hope it helps<br>--[[User:Asuleime|Asuleime]] 22:45, 5 November 2008 (UTC)

Revision as of 17:50, 5 November 2008

Has anyone found a method for counting the number of subgraphs of W3 without actually drawing out every graph and counting them?
--Aoser 16:51, 3 November 2008 (UTC)


Yep, I found. Build the adjacency matrix for W3.
1) Consider (# ways to choose i vertices), where i=1,2,3,4.
2) Also consider # places for edges in each configuration (with 1, 2, 3, 4 vertices) - build the edge or not (2 choices).
3) Combine these using product & sum rules of counting.
Hope it helps
--Asuleime 22:45, 5 November 2008 (UTC)

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang