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The theory of Domination in graphs is used in security systems. Landscaping uses planarity and crossing number. In layout designs, hamiltoincity is regulalry used. Edge-weighted graphs and Max-Flow Min-Cut models are also discussed in this paper. [ABSTRACT FROM AUTHOR]

There are several classes of anticancer drugs, among which our study focuses on alkylating agents. As a chemical graph invariant number, topological index, has crucial role in predicting the physical, chemical, biological and toxicity properties of a molecule. Different versions of Zagreb indices correlate well with various physio-chemical properties of a molecule. We are analysing physio-chemical properties of the class of alkylating agents using various Zagreb indices. In this paper we are able to predict the physico-chemical properties of a molecule which is not yet discovered using the Zagreb class. [ABSTRACT FROM AUTHOR]

Expectation of the quality of a software varies from user to user. A fuzzy approach to measure the quality of a software is very appropriate so that it can deal with non-crisp aspects of the various parameters. In the proposed model, ordered intuitionistic fuzzy soft sets (OIFSS) and relative similarity measures of OIFSS are considered in the backdrop of fuzzy multiple criteria decision making (FMCDM) approach. [ABSTRACT FROM AUTHOR]