Graph Theory Math Ia [ TRUSTED ]

Unvisited min = F(730). Current = F. Neighbors: D(no), E(no), T(730+90=820 vs 1010 → update T=820). Visited add F.

(sort edges by weight, add if no cycle): graph theory math ia

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)

Destination T reached (820). Stop.

I defined terms clearly, used consistent notation (( G=(V,E) )), and showed step-by-step tables. C(510+120=630 vs 530 no)

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.

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.