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Is cycle and circuit in graph theory same?
No its not. A cycle is closed trail
What graph has a finite or limited number of data points is?
A discrete graph.
What type of graph uses an X above a number line to represent each number in a set of data?
This graph is called the x graph.
What is the x intercept on a graph?
It is found on the horizontal x axis number line on a graph whereas the y intercept is found on the vertical number line on a graph.
What is a typical number on a graph?
42
What is the chromatic number of an n-vertex simple connected graph which does?
2
What is the chromatic number of an n-vertex simple connected graph which does not contain any odd length cycle. Assume n - 2?
χ(Kn) = n colors
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.
What has the author Barry Graham written?
Barry Graham has written: 'An algorithm to determine the chromatic number of a graph' 'Get out as early as you can' 'Before: A Novel'
How do you find the chromatic number?
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 is a negative cycle in Graph?
In a weighed graph, a negative cycle is a cycle whose sum of edge weights is negative
What is the United State's chromatic number?
4
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).
Is cycle and circuit in graph theory same?
No its not. A cycle is closed trail
How many minimum edges in a Cyclic graph with n vertices?
The term "cyclic graph" is not well-defined. If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices. If you mean a graph that is (isomorphic to) a cycle, then the answer is n. If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.
How does the graph of the cosine function differ from a graph of a sine function?
the graph of cos(x)=1 when x=0the graph of sin(x)=0 when x=0.But that only tells part of the story. The two graphs are out of sync by pi/2 radians (or 90°; also referred to as 1/4 wavelength or 1/4 cycle). One cycle is 2*pi radians (the distance for the graph to get back where it started and repeat itself.The cosine graph is 'ahead' (leads) of the sine graph by 1/4 cycle. Or you can say that the sine graph lags the cosine graph by 1/4 cycle.
What is a cycle in graph theory?
If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.
