Mixing
A question about graph coloring and partition of graph
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I got this question from professor, any hint would be helpful.
Let $k$ be a positive integer and let $X,Y$ be a partition of the vertex set of the graph $G$ such that $chi(G[X])le k$ and $chi(G[Y])le k$.
Suppose $e(X,Y)le k-1$. Then $chi(G)le k$.
graph-theory coloring
asked 2 days ago
maskliesink
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up vote
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I got this question from professor, any hint would be helpful.
Let $k$ be a positive integer and let $X,Y$ be a partition of the vertex set of the graph $G$ such that $chi(G[X])le k$ and $chi(G[Y])le k$.
Suppose $e(X,Y)le k-1$. Then $chi(G)le k$.
graph-theory coloring
asked 2 days ago
maskliesink
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I got this question from professor, any hint would be helpful.
Let $k$ be a positive integer and let $X,Y$ be a partition of the vertex set of the graph $G$ such that $chi(G[X])le k$ and $chi(G[Y])le k$.
Suppose $e(X,Y)le k-1$. Then $chi(G)le k$.
graph-theory coloring
asked 2 days ago
maskliesink
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I got this question from professor, any hint would be helpful.
Let $k$ be a positive integer and let $X,Y$ be a partition of the vertex set of the graph $G$ such that $chi(G[X])le k$ and $chi(G[Y])le k$.
Suppose $e(X,Y)le k-1$. Then $chi(G)le k$.
graph-theory coloring
graph-theory coloring
asked 2 days ago
maskliesink
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
maskliesink
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
maskliesink
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
maskliesink
11
asked 2 days ago
maskliesink
11
11
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
maskliesink is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago
add a comment |
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago
add a comment |
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Welcome to MSE. Questions like "Here is the task. Solve it for me!" are poorly received on this site. Therefore try to improve your question with an edit. Improving could consist of providing some context concerning your task or by adding what you have tried so far and where did you struggle :)
– mrtaurho
2 days ago
My question when trying to answer your question: math.stackexchange.com/questions/3005657/…
– mathnoob
2 days ago