Sentence examples for a general graph from inspiring English sources
The Ihara zeta functions of graphs started for regular graphs by Y. Ihara [19] and is generalized to a general graph.
The properties of the maximum fractional (g,f -factors and fractional (g,f -factors with the minimum of edges and also given, generalizing the results given in [William Y.C. Chen, Maximum (g,fractional of a general graph,f -factorsMath. 91 (1991) 1–7] and [Edward R. Scheinerman,f -factors Ullman, Fractional Graph Theory, John withy and Sonc, Inc., New York, 1997].
The formulations use a general graph representation that captures dependencies between an arbitrary number of products, technologies, and transportation paths.
The LRW procedure involves a nonlinear operation, thus it is difficult to analyze its properties on a general graph model.
Thus, the author prepared a general graph which indicates how viscosity affects CTP by changing flow regime (Fig. 4).
In this paper we first introduce a general graph based model of biological systems and we then focus our attention on metabolic networks.
The proposed optimization algorithm is based on a general, graph-theoretic framework and, in principle, is able to deal with arbitrary sensors and effectors.
Most importantly, the inference method is presented to show how a network can be reconstructed to provide the required system dynamics and relative connection relationships among genes (but not for predicting a network structure of a general graph-based model).
More generally, XML documents can have a more general graph structure, due to ID references, but we will not consider this case.
(a) The general graph Γ ( G i ) based on the Grobner-Shirshov basis.
This approach allows for the quantification of node specific traits (e.g. the number of edges connecting one node to others nodes, termed degree), edge specific traits (e.g. how severely a network is affected by the removal of an edge) and general graph properties (e.g. how efficient is the information transfer from any point A to any point B in general).
