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B Counting with Restrictions Techniques
Partitions Compositions and Decompositions
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adjacent arrow asymptotic bond Cayley trees centered cubic choose clearly clockwise coef coefficient components compute conclude connected graphs consider corresponding cosh pV counting function cubic lattice Curie Curie point Curie temperature curves cycle decompose decomposition define determinant diagram dimensional dimer configuration Dimer Problem eigenvector elements equation equivalent evaluate expansion Find the number given Hence horizontal dimer identical integral Ising model labeled lattice gas loop magnetization Master Theorem mathematics maximum eigenvalue n-set nearest neighbor number of configurations number of vertical nX nX obtained occurs orientation pair parity periodic boundary conditions permanent permutation Pfaffian Phys pigeonhole principle Polya theorem polygons possible configurations Ramsey's theorem random walk recursion relation restrict rooted graph satisfies sequence sinh specified spin square lattice stars step subsets Suppose tanh pV temperature tion total number transfer matrix vertex vertical dimers