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An interval graph is an undirected graph G formed from a family of intervals , =,,, … by creating one vertex v i for each interval S i, and connecting two vertices v i and v j by an edge whenever the corresponding two sets have a nonempty intersection.
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(The RR interval will shorten when the heart speeds up, and lengthen when it slows.) An RR tachograph is a graph of the numerical value of the RR-interval versus time. In the context of RR tachography , a Poincaré plot is a graph of RR( n ) on the x -axis versus RR( n + 1) (the succeeding RR interval) on the y -axis, i.e. one takes a sequence ...
An indifference graph, formed from a set of points on the real line by connecting pairs of points whose distance is at most one. In graph theory, a branch of mathematics, an indifference graph is an undirected graph constructed by assigning a real number to each vertex and connecting two vertices by an edge when their numbers are within one unit of each other. [1]
A line, usually vertical, represents an interval of the domain of the derivative.The critical points (i.e., roots of the derivative , points such that () =) are indicated, and the intervals between the critical points have their signs indicated with arrows: an interval over which the derivative is positive has an arrow pointing in the positive direction along the line (up or right), and an ...
Let N be the set of all interval colourable graphs. For a graph G ∈ N, the least and the greatest values of t for which G has an interval t-colouring are denoted by w(G) and W(G), respectively. An interval edge coloring of a graph is said to be equitable interval edge coloring if any two color classes of a graph differ by at most one.
The complement of the comparability graph of an interval order (, ≤) is the interval graph (,). Interval orders should not be confused with the interval-containment orders, which are the inclusion orders on intervals on the real line (equivalently, the orders of dimension ≤ 2).
It is interesting about interval chromatic number that it is easily computable. Indeed, by a simple greedy algorithm one can efficiently find an optimal partition of the vertex set of H into X < (H) independent intervals. This is in sharp contrast with the fact that even the approximation of the usual chromatic number of graph is an NP hard task.