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Suppose that P is a simple polygon with vertices v1, v2,….

ISBN: 9780073383095 37

Solution for problem 20E Chapter 5.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 20E

Suppose that P is a simple polygon with vertices v1, v2,…. vn listed so that consecutive vertices are connected by an edge, and vi and v j are connected by an edge. A vertex v, is called an ear if the line segment connecting the two vertices adjacent to v; is an interior diagonal of the simple polygon. Two ears vi and vj are called nonover-lapping if the interiors of the triangles with vertices vi and its two adjacent vertices and vj and its two adjacent vertices do not intersect. Prove that every simple polygon with at least four vertices has at least two nonoverlapping ears.

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Continue…Cell Cell -compartmentalized w/ various organelles (look on cell diagram) Organelles -Mitochondria (pic on slide)  two membranes: Inner and Outer  “powerhouse of the cell”  glucose+O2CO2+H2O  ADP+PATP (energy)  Mitochondria is important for Apoptosis: programmed cell death...

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