A connected graph has 72 even vertices and eight odd vertices. Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, The donoribod grnr
A connected graph has 72 even vertices and eight odd vertices. Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, The donoribod grnr
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:A connected graph has 72 even vertices and eight odd vertices.
Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, and exp
The described graph has
O neither an Euler path nor an Euler circuit
an Euler path (but not an Euler circuit).
an Euler circuit.
By Euler's theorem, this is because the graph has
more than two even vertices
more than two odd vertices.
more even vertices than odd vertices
arch
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