Question

(a) Verify Euler’s formula for the following plane graph.

Image ignouassignments-ignouacademy-com--p-formula-96218

29 Apr 2025
Answer :
Word Count : 363
Let's verify **Euler's formula** for the given plane graph: $$ v - e + f = 2 $$ where: - $$v$$ = number of vertices - $$e$$ = number of edges - $$f$$ = number of faces (including the exterior) *** ## Step 1: Count the Vertices ($$v$$) Count the distinct black dots (vertices) in the image: - There are **5 vertices**. *** ## Step 2: Count the Edges ($$e$$) Count the _____ ________ _______ ________ ______ ____ _______ _______.
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