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The Aztec diamond was extensively studied in both graph theory and statistical physics. Knuth obtained a formula of the number of spanning trees of the Aztec diamond with the constrained boundary condition, which solved a conjecture posed by Stanley in 1994. In this paper, We give the formulae of the energy and the number of spanning trees of the Aztec diamond with the toroidal boundary condition.
Nowadays, E-mail communication has been abused for numerous illegitimate purposes such as E-mail spamming, terrorist attack, business fraud, etc. As a result, to analysis the rich personal information hidden in E-mail is significant for investigation and evidence collection. In this paper, an investigation and analysis system aiming to Email was presented, which supports a variety of data sources...
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