B C G 6) Does Graph "A" have an Euler Circuit? Y or N ...... 7) Does Graph "A" have an Euler PATH? Y or N GRAPH "A" GRAPH"A" FOR PROBLEMS 1 THRU 7 1) For the graph shown above state the edge set: answ 2) For the graph shown above state the vertex set: answ - EA, B, C, D, E, F, G3 3) For the graph wn above show the degree of each vertex, marked clearly next to it (on graph). 4) Does the graph above contain a loop? Y, N_ IF SO WHAT IS IT BB 5) Does the graph above contain multiple edges? If yes identify the edges - EF, FE ****** E F . FULLY EXPLAIN YOUR ANSWER BELOW: FULLY EXPLAIN YOUR ANSWER BELOW:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hello, can someone explain this to me? I get confused when there are multiple graphs at once. Thank you!

B
C
A
G
3
GRAPH "A" FOR PROBLEMS 1 THRU 7
1) For the graph shown above state the edge set: answ
2) For the graph shown above state the vertex set: answ - EA, B
D, E, F, G3
3). For the graph shown above show the degree of each vertex, marked clearly next to it ( on
graph).
4) Does the graph above contain a loop? Y, N
IF SO WHAT IS IT BB
5) Does the graph above contain multiple edges? If yes identify the edges - EF, FE
6) Does Graph "A" have an Euler Circuit? Y or N.
2
7) Does Graph "A" have an Euler PATH? Y or N...... FULLY EXPLAIN YOUR ANSWER BELOW:
o
DRAW THE FOLLOWING GRAPH
16
12
8) Draw, to the best of your ability, the graph that represents the following: Draw a graph, if
vertices. This graph is Connected. The fraction
possible, that contains,
, is the
2'
degree of each vertex. >
J
2
DRAW HERE:
GRAPH"B" FOR PROB #9
9) How many Bridges are in this graph?
List all of the Bridges:
GRAPH "A"
A
E
B
F
FULLY EXPLAIN YOUR ANSWER BELOW:
C
G
D
O
-
6
F
E
Transcribed Image Text:B C A G 3 GRAPH "A" FOR PROBLEMS 1 THRU 7 1) For the graph shown above state the edge set: answ 2) For the graph shown above state the vertex set: answ - EA, B D, E, F, G3 3). For the graph shown above show the degree of each vertex, marked clearly next to it ( on graph). 4) Does the graph above contain a loop? Y, N IF SO WHAT IS IT BB 5) Does the graph above contain multiple edges? If yes identify the edges - EF, FE 6) Does Graph "A" have an Euler Circuit? Y or N. 2 7) Does Graph "A" have an Euler PATH? Y or N...... FULLY EXPLAIN YOUR ANSWER BELOW: o DRAW THE FOLLOWING GRAPH 16 12 8) Draw, to the best of your ability, the graph that represents the following: Draw a graph, if vertices. This graph is Connected. The fraction possible, that contains, , is the 2' degree of each vertex. > J 2 DRAW HERE: GRAPH"B" FOR PROB #9 9) How many Bridges are in this graph? List all of the Bridges: GRAPH "A" A E B F FULLY EXPLAIN YOUR ANSWER BELOW: C G D O - 6 F E
A
10) For the graph in number " 9 ", above, identify the degree of each Vertex:
A=
B=
C=
G=
D=
E=
F=
GRAPH "C"
B
E
D
C
F
G
20)
H
11) What is the Vertex Set (GRAPH "C"):
ANSW:
12) What is the Edge Set (GRAPH "C"):
ANSW:
13) Is the Graph Connected (GRAPH "C"): Y or N
TR
THE
J
15) Is there an Euler Circuit in this graph (GRAPH "C")? Y or N
Use content from your text to explain why or why not.
K
PLEASE READ THE FOLLOWING QUESTIONS WELL:
14) If #13 is No, How many components are in the graph (GRAPH "C"): ANSW:
If #13 is Yes, identify all circuits of Length 1: ANSW:
doms
16) Find a general path, in the graph (GRAPH "C"), if possible, that starts at vertex "G" and ends
at vertex " H " and has a length of "5". ANSW:
17) Find a general circuit, in the graph (GRAPH "C"), if possible, that starts at vertex "A" and
10
ends at vertex "A
O
18) What type of edges can make up a circuit of length 2 ?
19) DRAW A GRAPH THAT HAS 10 VERTICES, IS CONNECTED AND CONTAINS AN EULER CIRCUIT.
The number of edges meeting at a vertex is referred to as the
of the vertex. (FILL IN THE BLANK)
Transcribed Image Text:A 10) For the graph in number " 9 ", above, identify the degree of each Vertex: A= B= C= G= D= E= F= GRAPH "C" B E D C F G 20) H 11) What is the Vertex Set (GRAPH "C"): ANSW: 12) What is the Edge Set (GRAPH "C"): ANSW: 13) Is the Graph Connected (GRAPH "C"): Y or N TR THE J 15) Is there an Euler Circuit in this graph (GRAPH "C")? Y or N Use content from your text to explain why or why not. K PLEASE READ THE FOLLOWING QUESTIONS WELL: 14) If #13 is No, How many components are in the graph (GRAPH "C"): ANSW: If #13 is Yes, identify all circuits of Length 1: ANSW: doms 16) Find a general path, in the graph (GRAPH "C"), if possible, that starts at vertex "G" and ends at vertex " H " and has a length of "5". ANSW: 17) Find a general circuit, in the graph (GRAPH "C"), if possible, that starts at vertex "A" and 10 ends at vertex "A O 18) What type of edges can make up a circuit of length 2 ? 19) DRAW A GRAPH THAT HAS 10 VERTICES, IS CONNECTED AND CONTAINS AN EULER CIRCUIT. The number of edges meeting at a vertex is referred to as the of the vertex. (FILL IN THE BLANK)
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