Graph Theory Math Ia ❲720p❳
Unvisited min = A(200). Current = A. Neighbors: S(200+200 no better), B(200+150=350 vs current 350 tie), C(200+400=600), D(200+310=510). Update: C=600, D=510. Visited S,A.
Unvisited min = D(510). Current = D. Neighbors: A(no), B(no), C(510+120=630 vs 530 no), F(510+300=810), T(510+500=1010). Update T tentative = 1010. Visited S,A,B,D.
Unvisited min = F(730). Current = F. Neighbors: D(no), E(no), T(730+90=820 vs 1010 → update T=820). Visited add F. graph theory math ia
Unvisited min = B(350). Current = B. Neighbors: S(no), A(350+150=500 vs 200 no), C(350+180=530 vs 600 → update C=530), D(350+220=570 vs 510 no), E(350+280=630). Visited S,A,B.
Unvisited min = C(530). Current = C. Neighbors: A(no), B(no), D(no), E(530+250=780 vs 630 no). Visited S,A,B,D,C. Unvisited min = A(200)
I defined terms clearly, used consistent notation (( G=(V,E) )), and showed step-by-step tables.
1. Introduction Aim: To determine the most efficient (shortest) route for a delivery driver in a local suburban network using graph theory, and to compare the effectiveness of Dijkstra’s algorithm against simple visual inspection. Update: C=600, D=510
Destination T reached (820). Stop.