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Degree sequence.
It uses degree sequence for finding largest possible clique size.
The next lemma characterizes connected tricyclic graphs by their degree sequence.
In this section, we consider the degree sequence of multi-digraphs with connectivity exactly k.
As a case study, let us again take the degree sequence.
Then d is also a degree sequence of some maximally arc-connected multi-digraph.
Assume d is the degree sequence of some multi-digraph D with connectivity exactly k.
We show that the degenerate degree sequence of any graph can be determined by an efficient algorithm.
Designing networks in which every processor has a given number of connections often leads to graphic degree sequence realization models.
A nonincreasing sequence d="(d1,d2,…,dn) is graphic if there is a simple graph G with degree sequence d.
By this definition, mbox{$Dotimes bigl{ (u_{1},v_{1}), (u_{2},v_{2}) bigr} $ and $D$ have the same degree sequence.} (1) Thus, the degree sequence remains unchanged under 2-switch operations.
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