Proposition. SupposeGis a regular (and simple) graph. If there exists a vertexv∈Vwithdegreeδ(v) = 2, then|V|=|E|.

Find all spanning trees for the graph. Select all that apply. Π.Α. B D. A B D C E G B. A B ☐E. B D 11: D E G C. B F. B B C G G

Consider the following sets V = {v,V1, V2, V3, V4} and a set of vertices A simple graph can be such that d(vo) = 0, d(v1) = 1, d(v2) = 2, d(v3) = 3 and d(v4) = 4, explain why

Discrete Math

Refer to the accompanying graph. Complete parts (a) through (c) in order. Starting at A, the circuit is Starting at B, the circuit is Starting at C, the circuit is Starting at D, the circuit is Starting at E, the circuit is (Simplify your answers.) (b) Which of the circuits for M A. The circuit that stai TL-- AL - and the total weight is otal weight is otal weight is otal weight is otal weight is A D C E→B→A A B C D→E→A A C D E→B→A ... A-E→C D→B→A B 13 15 60 C (a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for the graph. In each case, find the total weight of the circuit. 6/ 57 14 9 8 E 12 D ion to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply.