Sentence examples for a sequence of graphs from inspiring English sources

The main purpose of the paper is to construct a sequence of graphs of constant degree with indefinitely growing girths admitting embeddings into ℓ1 with uniformly bounded distortions.

As tightly constructed as a proof, it first lays out Mr. Padamsee's principles of abstraction in a sequence of graphs and charts and then furnishes numerous examples in the form of elegant, Mondrianesque line drawings.

We may repeatedly add edges satisfying the inequality stated in the assertion of the theorem, until addition is no longer possible, thereby getting a sequence of graphs G=G0,G1,…,G r =c(G) such that either each graph in the sequence is Hamiltonian or no graph in the sequence is.

This results in a sequence of graphs that starts with an empty graph and ends with a complete graph.

The clustering tree of a density can be obtained, or at least approximated, from the connected components arising in a sequence of graphs generated by thresholding the (estimated) data-generating density [22].

Based on the graph grammar, the execution of a set of non-conflict state transitions is interpreted by a sequence of graph transformations.

At the end of the process, the history of the network is formalized as a sequence of graph topologies on which the application can be solved off-line.

More precisely, the graph edit distance measure is based on applying graph transformations, i.e, a sequence of weighted graph edit operations that transform a given graph into another graph by producing minimal edit costs [32].

We also prove that this cokernel is a free abelian group when the graph E is finite, and determine its generators in terms of a sequence of separated graphs {(En,Cn)}n="1∞ naturally attached to (E,C).

Precisely, on any sequence of graphs with maximum degree d, the Ising model has cutoff provided that beta < kappa/d for some absolute constant kappa (a result which, up to the value of kappa, is best possible).

We compare and evaluate all five schemes using a sequence of web graphs for Yahoo!, and study if the schemes can identify anomalies that may occur due to hardware or other problems.