. For each graph, determine the number of edges, the number of vertices, the number of vertices that are of odd degree, whether the graph is connected, and whether the graph is complete. Number Is the graph Number of vertices Number of edges Graph of vertices of odd connected? complete? degree X ad P C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assessment Task
Direction: Answer each item.
1. For each graph, determine the number of edges, the number of vertices,
the number of vertices that are of odd degree, whether the graph is
connected, and whether the graph is complete.
Is the graph
Number
of
Number
of
vertices
Number
Graph
of edges
vertices
of odd
connected? complete?
degree
b
2. Determine whether the two graphs are equivalent.
Page 26 of 30
3. Label the second graph so that it is equivalent to the first graph.
4. Consider the graphs given in the following table.
Determine whether the graph is Eulerian. If it is, find an Euler circuit.
If it is not, explain why.
Is the graph
Eulerian?
If yes, sketch
the Euler
If no, explain
why.
Graph
circuit
27 of 31
||
Transcribed Image Text:2:37 ull " 46 5.00 79 KB/S Special-Topic-Mathematics-of-Graph.pdf Marketing Th be yourtagine goeshee Module, exercises, problem sets, powerpoint lessons Assessment Task Direction: Answer each item. 1. For each graph, determine the number of edges, the number of vertices, the number of vertices that are of odd degree, whether the graph is connected, and whether the graph is complete. Is the graph Number of Number of vertices Number Graph of edges vertices of odd connected? complete? degree b 2. Determine whether the two graphs are equivalent. Page 26 of 30 3. Label the second graph so that it is equivalent to the first graph. 4. Consider the graphs given in the following table. Determine whether the graph is Eulerian. If it is, find an Euler circuit. If it is not, explain why. Is the graph Eulerian? If yes, sketch the Euler If no, explain why. Graph circuit 27 of 31 ||
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