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So, equivalence can be determined by traversing the instance graph of their definitions by comparing entity definitions as well as comparing the number of aggregated instances for each equivalent pair.
For instance, graph spectra were employed to derive indices for measuring the structural similarity of networks [15].
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Indeed, we give a graph-based characterization of the solutions to the PPP problem by showing the relationship between certain sequences of graph operations on the instance graphs and traversals of a persistent phylogeny solving these instances.
The implicit material selection knowledge is represented as a set of labeled instances and RDF instance graphs in terms of the concept model, which provides a formal approach to organizing the captured material selection knowledge.
Based on this result and on some combinatorial properties of the instance graphs we are able to give a polynomial time algorithm for a restricted version of the PPP problem.
Experiments have been performed on real life instances (RLFAP) as well as random instances (GRAPH and Kbtree) using VNS/LDS+CP (a particular instance of VNS we developed).
Physical activity between 0 and 6 am was recorded only in very few instances, graphs of diurnal profiles thus cover the period between 6 am and 12 pm.
In some instances, graphing the solutions for all inequalities in the system can visually show you where some, if not all, of the vertices lie.
For instance, a graph consisting of a square of branches would still be the same topological graph if two branches were interchanged unless the branches were uniquely labelled.
In [1], Golumbic et al. have presented a diagram showing the complexity status (at that time) of the sandwich problem for some subfamilies of perfect graphs like, for instance, chordal graphs.
For instance, in graph theory it is known that some simple structures cannot be drawn in the plane.
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