ADVANCED ENGINEERING MATHEMATICS
10th Edition
ISBN: 2819770198774
Author: Kreyszig
Publisher: WILEY CONS
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Q/ Give
an
Such that L(G)
example of a simple graph G
is Euler but G is not.
Attempted the problem with different numbers but got a row of zeros and does not match the answer provided; even with the free variables. I dont know what I'm doing wrong
Let G be a graph with the following properties:
G is simple, connected and planar.
Every vertex of G has a degree of 4.
Every face of G has three edges and every edge of G belongs to two faces.
Does such a graph exist? If so, how many vertices, edges and faces does it have?
(Hint: Turn each of the above property into an equation about the number of vertices, edges and/or faces of the graph.)
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