where dist(i, j) is the physical distance between two sensors.

Temperature sensors are deployed in a geographical area, as shown in Figure 2.2 of this

solution manual, where the circles represent sensors. Each small square box is equivalent to

100 square miles. Construct a graph by connecting two sensors

i and j with weights according to the formula


Each sensor node of Figure 2.2 has given an identity as shown in Figure 2.3





To construct a weighted graph where sensors are vertices and their connectivities are mimicked


as edges, we need to measure the Euclidean distances among nodes. Note that as the weight


of an edge is 0 if the distance between two sensor nodes are more than or equal to 22 miles, we show distance estimations only between those sensor nodes where creating positive weighted links are possible.





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