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David R. Guichard

Publications and source records attributed to David R. Guichard.

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The Domination Number of $C_n\square P_m$ for $n\equiv 2\pmod{5}$

We use a dynamic programming algorithm to establish a new lower bound on the domination number of complete cylindrical grid graphs of the form $C_n\square P_m$, that is, the Cartesian product of a path and a cycle, when $n\equiv 2\pmod{5}$, and we establish a new upper bound equal to the lower bound, thus computing the exact domination number for these graphs.

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