We report a specialized, proof-oriented, graphical computer environment (referred to as ZZDecomposer) capable of performing interactive decompositions of the Zhang-Zhang polynomials for arbitrary benzenoid structures and enabling one in this way to conduct formal proofs of the derived formulas. The functionality and capabilities of the presented program are illustrated on a series of carefully selected examples. The introduced tool, described in detail in the body of the current paper, is subsequently applied for performing formal proofs for some of the heuristically discovered formulas presented in our previous work [MATCH Commun. Math. Comput. Chem. 68 (2012) 3-30; ibidem, 68 (2012) 31-64]. ZZDecomposer is freely available for download from http://qcl.ac.nctu.edu.tw/zzdecomposer for two platforms, Windows and Linux.
|Number of pages||24|
|State||Published - 14 Apr 2014|