The Gram dimension gd(G) of a graph is the smallest integer k ≥ 1 such that, for every assignment of unit vectors to the nodes of the graph, there exists another assignment of unit vectors lying in R, having the same inner products on the edges of the graph. The class of graphs satisfying gd(G) ≤ k is minor closed for fixed k, so it can characterized by a finite list of forbidden minors. For k ...

Electrical networks are defined and a definition of when a bond graph and an electrical network are equivalent is given. Bond graphs and electrical networks are defined to be primitive if they contain no transformers or gyrators. A bond graph is defined to be realisable if it is equivalent to an electrical network and primitively realisable if it is equivalent to a primitive electrical network....

Let H be a fixed forbidden graph and let f be a function of n: Denote by RTðn;H; f ðnÞÞ the maximum number of edges a graph G on n vertices can have without containing H as a subgraph and also without having at least f ðnÞ independent vertices. The problem of estimating RTðn;H; f ðnÞÞ is one of the central questions of so-called Ramsey–Turán theory. In their recent paper (Discrete Math. 229 (20...

Culture-based and genomics methods provide different insights into the nature and behavior of bacteria. Maximizing the usefulness of both approaches requires recognizing their limitations and employing them appropriately. Genomic analysis excels at identifying bacteria and establishing the relatedness of isolates. Culture-based methods remain necessary for detection and enumeration, to determin...

The data presented here supports the informational background of enzyme-based lignocellulose hydrolyzation, cellulase characterization, and sugar yield prediction for the work "Enzyme-based lignocellulose hydrolyzation - Sauter mean diameter of raw materials as a basis for cellulase performance characterization and yield prediction" by Glaser [1]. Glucose yields from the enzymatic hydrolysis of...

application of chemical pesticides has increased significantly worldwide and has raised serious concerns about environmental pollutions. one of the encouraging trends to minimize pesticide risk is production of resistant plants containing toxic proteins against insect pests. considering the importance of purification and characterization of digestive enzymes in the production of resistant plant...

The protease enzyme produced by Lactic Acid Bacteria (LAB) with characteristics similar to rennin is called Rennin Like Protease (RLP). purpose of the study was obtain information on biochemical RLP Enterococcus faecium 1.15 as a basis for utilization enzyme. first stage observation growth curves and potential isolates produce RLP, characterization. (RLP) which has been purified using Sephadex ...

Abstract Motivation As experimental efforts are costly and time consuming, computational characterization of enzyme capabilities is an attractive alternative. We present evaluate several machine-learning models to predict which 983 distinct enzymes, as defined via the Enzyme Commission (EC) numbers, likely interact with a given query molecule. Our data consists enzyme-substrate interactions fro...

We completely determine the complexity status of the dominating set problem for hereditary graph classes defined by forbidden induced subgraphs with at most five vertices.

A permutation is said to be –avoiding if it does not contain any subsequence having all the same pairwise comparisons as . This paper concerns the characterization and enumeration of permutations which avoid a set of subsequences increasing both in number and in length at the same time. Let be the set of subsequences of the form “ ”, being any permutation on . For ! the only subsequence in #" i...