complete graph


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complete graph

[kəm¦plēt ′graf]
(mathematics)
A graph with exactly one edge connecting each pair of distinct vertices and no loops.

complete graph

A graph which has a link between every pair of nodes. A complete bipartite graph can be partitioned into two subsets of nodes such that each node is joined to every node in the other subset.
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7 [11] The size of a simple complete graph of order n is 1/2n(n - 1).
m] to denote a complete graph with order m, and if m = 1, then it is trivial vertex.
H is then the complete graph with edge weights all [alpha], letting its density equal [alpha].
The second modules creates the complete graph with the dataset specifying all the properties and relationship .
Moreover for any cardinal a we denote the complete graph on a points by Ka .
Although this problem is often hard to solve in general, it has been settled when the design is, for example, one of the following: a Steiner triple or quadruple system [19]; a non-Hamiltonian 2-factorization of the complete graph [5]; an even cycle system [14]; an odd cycle system [17].
m]]) form a complete graph on m + 1 vertices, so we can easily switch between combinatorial [F.
The complete graph is a graph in which each of the vertices connects to one another.
If [delta] = n - 1 then G is a complete graph which is a contradiction.
n] denote respectively, the complete graph on n [greater than or equal to] 1 vertices, the chordless path on n [greater than or equal to] 1 vertices, and the chordless cycle on n [greater than or equal to] 3 vertices.
Can not be determined from graph This question falls under the categories of understanding the local and end behavior of functions (1), the notion of the complete graph of a function (1), making connections between graphs and equations (8) and polynomials (9).
For example we consider a complete graph where an edge exists between every pair of vertices