We solve the initial value problems for the (combinatorial) heat, wave, and Cattaneo equations on a Hamming graph. We compute the Green kernel of the infinite graph $G_\infty$ containing all Hamming graphs $G_N$, $N \geq 1$, got by joining $G_N$ and $G_{N-1}$ along the boundary.
Combinatorial PDEs on Hamming graphs
BARLETTA, Elisabetta;DRAGOMIR, Sorin
2002-01-01
Abstract
We solve the initial value problems for the (combinatorial) heat, wave, and Cattaneo equations on a Hamming graph. We compute the Green kernel of the infinite graph $G_\infty$ containing all Hamming graphs $G_N$, $N \geq 1$, got by joining $G_N$ and $G_{N-1}$ along the boundary.File in questo prodotto:
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