The algorithm given in this chapter to partition a simple polygon into monotone pieces constructs a doubly-connected edge list for the parti- tioned polygon. During the algorithm, new edges are added to the DCEL (namely, diagonals to get rid of split and merge vertices). In general, adding an edge to a DCEL cannot be done in constant time. Discuss why adding an edge may take more than constant time, and argue that in the polygon-partitioning algorithm we can add a diagonal in O(1) time nevertheless.

Think of a spreadsheet as a giant calculator spread of paper chart data collector

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk, thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\

What is a typeface? a. a collection of similar text b. a collection of similar fonts c. a collection of similar designs d. a collection of similar colors e. a collection of similar images