5. For m, n > 1, define the grid graph Gm.n to have vertex set V = {(i, j) | 1


5. For m, n > 1, define the grid graph Gm.n to have vertex set<br>V = {(i, j) | 1 <i<m, 1<j< n},<br>and edge set E given by: one edge from (i, j) to (i+1, j) for 1<i<m (and every<br>j), and one edge from (i, j) to (i, j+ 1) for 1 <j<n (and every i). For example,<br>the grid graph G3,2 is:<br>(1,1)<br>(2,1)<br>(3,1)<br>(1,2)<br>(2,2)<br>(3,2)<br>Find a maximal matching and a minimal vertex cover for the grid graph Gmn, and<br>thereby determine m(Gm,n) and vc(Gm,n).<br>

Extracted text: 5. For m, n > 1, define the grid graph Gm.n to have vertex set V = {(i, j) | 1
Jun 04, 2022
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