2. For each of the following bipartite graphs, determine whether or not there exists a matching that covers X. If there is, then list all the edges in that matching. If not, then find the subset of X that fails the condition in Hall's Theorem (Theorem 4.6.3). (c) X1 X2 X3 M У1 Уз Y₁ x1 X2 31 32 Y2 X3 уз X4 Y4 Y4 X5 Y5 23 XA XXXXXX Y3 YA IS X6 Y5 Y6 16 Y6

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...
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2. For each of the following bipartite graphs, determine whether or not there exists a matching that covers
X. If there is, then list all the edges in that matching. If not, then find the subset of X that fails the
condition in Hall's Theorem (Theorem 4.6.3).
(a)
(c)
X
Y
X
X1
x1
У1
Y/1
X1
X2
X3
W
Y2
Y3
Y1
X2
X2
Y2
Y2
X3
Y3
X4
y4
X5
x3
XA
WXXXXX
Y3
YA
y5
X5
x6
Y5
уб
I6
Y6
Transcribed Image Text:2. For each of the following bipartite graphs, determine whether or not there exists a matching that covers X. If there is, then list all the edges in that matching. If not, then find the subset of X that fails the condition in Hall's Theorem (Theorem 4.6.3). (a) (c) X Y X X1 x1 У1 Y/1 X1 X2 X3 W Y2 Y3 Y1 X2 X2 Y2 Y2 X3 Y3 X4 y4 X5 x3 XA WXXXXX Y3 YA y5 X5 x6 Y5 уб I6 Y6
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