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The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c). [2] In the context of a polynomial in one variable x, the constant function is called non-zero constant function because it is a polynomial of degree 0, and its general form is f(x) = c, where c is nonzero.
A constant may be used to define a constant function that ignores its arguments and always gives the same value. [6] A constant function of a single variable, such as f ( x ) = 5 {\displaystyle f(x)=5} , has a graph of a horizontal line parallel to the x -axis. [ 7 ]
In mathematics, the Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck". The Cheeger constant as a measure of "bottleneckedness" is of great interest in many areas: for example, constructing well-connected networks of computers, card shuffling.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
Cheeger constant See expansion. cherry A cherry is a path on three vertices. [8] χ χ(G) (using the Greek letter chi) is the chromatic number of G and χ ′(G) is its chromatic index; see chromatic and coloring. child In a rooted tree, a child of a vertex v is a neighbor of v along an outgoing edge, one that is directed away from the root ...
The Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck". The Cheeger constant as a measure of "bottleneckedness" is of great interest in many areas: for example, constructing well-connected networks of computers , card shuffling , and low-dimensional ...
A constant function is also considered linear in this context, as it is a polynomial of degree zero or is the zero polynomial. Its graph, when there is only one variable, is a horizontal line. Its graph, when there is only one variable, is a horizontal line.
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; ... Its eigenvalue will be the constant degree of the graph.