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We vary the values of the TotVertices and MaxCliqueSize parameters, which specify the number of vertices and the size of the maximum clique respectively.
So, for each gene, we retained two separate files with groups of orthologous sequences: the first and the second maximum clique, respectively.
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For disk graphs, we consider two variations of the maximum clique problem, namely geometric clique and graphical clique.
The maximum clique problem is NP-complete.
A maximum clique is the largest maximal clique induced in G m.
Then we select maximum clique nodes in CG as distributed Certificate Authorities (CAs).
The maximum clique problem (MCP) is a classic graph optimization problem with many real-world applications.
Then the backbone network energy optimizing problem is transformed to the maximum clique problem (MCP).
We propose an algorithm to find all the weighted cliques as well as the weighted maximum clique in order of size using the framework of DNA computing.
This paper also improves the complexity of the maximum clique, the maximum independent set, the chromatic number and the maximum clique cover problems by giving efficient algorithms, thanks to the decomposition tree.
Assume the maximum clique in the local IDNC graph is unique, the following theorem states a sufficient condition under which the maximum weight clique problem is equivalent to a maximum clique problem that can be solved efficiently.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com