Simple Graph with 5 vertices of degrees 2, 3, 3, 3, 5
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I'm taking a class in Discrete Mathematics, and one of the problems in my homework asks for a Simple Graph with 5 vertices of degrees 2, 3, 3, 3, and 5. How can I have more than 4 edges? I'm really confused, maybe I don't really understand what a "Simple Graph" means.
discrete-mathematics graph-theory
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
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show 3 more comments
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I'm taking a class in Discrete Mathematics, and one of the problems in my homework asks for a Simple Graph with 5 vertices of degrees 2, 3, 3, 3, and 5. How can I have more than 4 edges? I'm really confused, maybe I don't really understand what a "Simple Graph" means.
discrete-mathematics graph-theory
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
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What do you think the definition of "simple graph" is?
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– Randall
Dec 3 '18 at 2:33
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Has no loops, no multi-edges.
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– Ayaan Siddiqui
Dec 3 '18 at 2:34
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Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
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– Boshu
Dec 3 '18 at 2:36
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Since there are $5$ vertices, no vertex can have degree more than $4$.
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– the_fox
Dec 3 '18 at 2:36
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Looks like professor made a typo then
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– Ayaan Siddiqui
Dec 3 '18 at 2:36
|
show 3 more comments
$begingroup$
I'm taking a class in Discrete Mathematics, and one of the problems in my homework asks for a Simple Graph with 5 vertices of degrees 2, 3, 3, 3, and 5. How can I have more than 4 edges? I'm really confused, maybe I don't really understand what a "Simple Graph" means.
discrete-mathematics graph-theory
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
$endgroup$
I'm taking a class in Discrete Mathematics, and one of the problems in my homework asks for a Simple Graph with 5 vertices of degrees 2, 3, 3, 3, and 5. How can I have more than 4 edges? I'm really confused, maybe I don't really understand what a "Simple Graph" means.
discrete-mathematics graph-theory
discrete-mathematics graph-theory
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
asked Dec 3 '18 at 2:32
Ayaan SiddiquiAyaan Siddiqui
11
11
$begingroup$
What do you think the definition of "simple graph" is?
$endgroup$
– Randall
Dec 3 '18 at 2:33
$begingroup$
Has no loops, no multi-edges.
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:34
$begingroup$
Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
$endgroup$
– Boshu
Dec 3 '18 at 2:36
$begingroup$
Since there are $5$ vertices, no vertex can have degree more than $4$.
$endgroup$
– the_fox
Dec 3 '18 at 2:36
$begingroup$
Looks like professor made a typo then
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:36
|
show 3 more comments
$begingroup$
What do you think the definition of "simple graph" is?
$endgroup$
– Randall
Dec 3 '18 at 2:33
$begingroup$
Has no loops, no multi-edges.
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:34
$begingroup$
Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
$endgroup$
– Boshu
Dec 3 '18 at 2:36
$begingroup$
Since there are $5$ vertices, no vertex can have degree more than $4$.
$endgroup$
– the_fox
Dec 3 '18 at 2:36
$begingroup$
Looks like professor made a typo then
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:36
$begingroup$
What do you think the definition of "simple graph" is?
$endgroup$
– Randall
Dec 3 '18 at 2:33
$begingroup$
What do you think the definition of "simple graph" is?
$endgroup$
– Randall
Dec 3 '18 at 2:33
$begingroup$
Has no loops, no multi-edges.
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:34
$begingroup$
Has no loops, no multi-edges.
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:34
$begingroup$
Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
$endgroup$
– Boshu
Dec 3 '18 at 2:36
$begingroup$
Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
$endgroup$
– Boshu
Dec 3 '18 at 2:36
$begingroup$
Since there are $5$ vertices, no vertex can have degree more than $4$.
$endgroup$
– the_fox
Dec 3 '18 at 2:36
$begingroup$
Since there are $5$ vertices, no vertex can have degree more than $4$.
$endgroup$
– the_fox
Dec 3 '18 at 2:36
$begingroup$
Looks like professor made a typo then
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:36
$begingroup$
Looks like professor made a typo then
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:36
|
show 3 more comments
1 Answer
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Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
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add a comment |
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$begingroup$
Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
$endgroup$
add a comment |
$begingroup$
Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
$endgroup$
add a comment |
$begingroup$
Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
$endgroup$
Since you only have 5 vertices, it is not possible in a simple graph to have a maximum degree of more than $5-1=4$. Hence, such a simple graph as required does not exist.
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
answered Dec 3 '18 at 2:36
gt6989bgt6989b
34.2k22455
34.2k22455
add a comment |
add a comment |
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$begingroup$
What do you think the definition of "simple graph" is?
$endgroup$
– Randall
Dec 3 '18 at 2:33
$begingroup$
Has no loops, no multi-edges.
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:34
$begingroup$
Have you considered the fact that they might have intended for you to state that such a graph cannot exist?
$endgroup$
– Boshu
Dec 3 '18 at 2:36
$begingroup$
Since there are $5$ vertices, no vertex can have degree more than $4$.
$endgroup$
– the_fox
Dec 3 '18 at 2:36
$begingroup$
Looks like professor made a typo then
$endgroup$
– Ayaan Siddiqui
Dec 3 '18 at 2:36