Input. connected multigraph G in which every vertex has even and positive degree Initialise a circuit C = (v) for some vertex v. while E(C) E(G) do Choose a vertex w in C with degree at least 1 in G – E(C). (Since G is connected such a vertex exists.) - Let M be a maximal trail in G – E(C) starting at w. - (Since each vertex has even degree in G― E(C), M terminates at w.) Insert M into C at w. (This increases the length of C and C remains a circuit.) end-while m ent Apply the algorithm presented in lectures for finding an Eulerian circuit to the following multi- graph. Make choices so that at least three maximal trails are determined. the algorithm. how all steps of
Input. connected multigraph G in which every vertex has even and positive degree Initialise a circuit C = (v) for some vertex v. while E(C) E(G) do Choose a vertex w in C with degree at least 1 in G – E(C). (Since G is connected such a vertex exists.) - Let M be a maximal trail in G – E(C) starting at w. - (Since each vertex has even degree in G― E(C), M terminates at w.) Insert M into C at w. (This increases the length of C and C remains a circuit.) end-while m ent Apply the algorithm presented in lectures for finding an Eulerian circuit to the following multi- graph. Make choices so that at least three maximal trails are determined. the algorithm. how all steps of
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:Input. connected multigraph G in which every vertex has even and positive
degree
Initialise a circuit C =
(v) for some vertex v.
while E(C) E(G) do
Choose a vertex w in C with degree at least 1 in G – E(C).
(Since G is connected such a vertex exists.)
-
Let M be a maximal trail in G – E(C) starting at w.
-
(Since each vertex has even degree in G― E(C), M terminates at w.)
Insert M into C at w.
(This increases the length of C and C remains a circuit.)
end-while
Transcribed Image Text:m
ent
Apply the algorithm presented in lectures for finding an Eulerian circuit to the following multi-
graph. Make choices so that at least three maximal trails are determined.
the algorithm.
how all steps of
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