(Graph theory) Consider graph G below with vertex set {a, b, c, d, e, f, g, h, i}. e C 9 h 2 (a) Is G bipartite? Justify your answer. (b) Which edges could be removed in order to obtain a spanning tree for G? Draw the resulting spanning tree. (c) Does G have an Euler circuit? If yes, justify your answer. If no, at least how many edges must be added to G and between which pair of vertices in order to have an Euler circuitdown 6. (4+6+8=18 pts) (Probability) There are 25 people joining

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(Graph theory)
Consider graph G below with vertex set {a, b, c, d, e, f, g, h, i}.
e
d
C
9
h
2
(a) Is G bipartite? Justify your answer.
(b) Which edges could be removed in order to obtain a spanning tree for G? Draw the resulting
spanning tree.
(c) Does G have an Euler circuit? If yes, justify your answer. If no, at least how many edges
must be added to G and between which pair of vertices in order to have an Euler circuit d
6. (4+6+8=18 pts) (Probability) There are 25 people joining
Transcribed Image Text:(Graph theory) Consider graph G below with vertex set {a, b, c, d, e, f, g, h, i}. e d C 9 h 2 (a) Is G bipartite? Justify your answer. (b) Which edges could be removed in order to obtain a spanning tree for G? Draw the resulting spanning tree. (c) Does G have an Euler circuit? If yes, justify your answer. If no, at least how many edges must be added to G and between which pair of vertices in order to have an Euler circuit d 6. (4+6+8=18 pts) (Probability) There are 25 people joining
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