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There are many ways to find the chromatic number. One way is to write the chromatic polynomial and obtain it from that. For example, let's look at a complete graph on 3 points which looks like a triangle. We can color the first vertex in x ways, the second is x-1 ways and the third in x-2 ways. So the chromatic polynomial is C(x)=x(x-1)(x-2) not the smallest natural number, N, such that C(N) is not equal to zero is the chromatic number. So in this case it is 3. This number tells us the we can color the graph with 3 different colors and have no vertices with the same color. Any smaller number of colors, say 2 would not work.
So the answer is find C(x) the chromatic polynomial and then find the smallest natural number such that C(x) is not zero. There are many other methods to find it, but that one is sometimes the simplest.
What else can I help you with?
How do you find the cardinal number to a set?
Count the number of distinct elements in the set.
Why do you find median?
You find the median to find the middle number
How do you find the ratio of two areas?
In order to find the ratio of two areas, you times it by the number of a number to get the number of the numbers numbers number, and that number divide by the first number which is 6 and then do the square root of the numbers number to get that number, which you will times by 2.
A number increased by two-thirds of the number is 25 Find the number?
15
What is the chromatic polynomial of Peterson graph?
The chromatic polynomial for the Petersen (not Peterson) graph ispi(z) = (z - 2)* (z - 1)*z*(z^7 - 12*z^6 + 67*z^5 - 230*z^4 + 529*z^3 - 814*z^2 + 775*z - 352).
What is the United State's chromatic number?
4
Is colour-critical graph always connected?
Yes. If it was disconnected, you could remove an edge from the component with the lower chromatic number. This wouldn't affect the chromatic number of the first component.
Where can you find a chromatic tuner?
You can find a chromatic tuner at a music shop. This can be online or on the high-street or in a mall. Best to be able to go into a shop to compare or base this decision on online reviews.
What is the chromatic number of an n-vertex simple connected graph which does?
2
What is the Chromatic number of a cycle graph?
3 if n is odd 2 if n is even where n is the number of vertices.
Where is the chromatic located?
"Chromatic" is an adjective and is not located anywhere.
What is relationship between weather and weathering?
I find the chromatic scale very interesting on the Clarinet
Does the iPod chromatic have internet?
the nano chromatic doesn't have internet.
What are the 12 traditional pitch classes in music?
chromatic
When was Chromatic Palette created?
Chromatic Palette was created in 1981.
When did Chromatic Research end?
Chromatic Research ended in 1998.
When was Chromatic Research created?
Chromatic Research was created in 1994.
