Sentence examples for graphs with large from inspiring English sources

(Construction of regular bipartite graphs with large girth) The problem of constructing regular bipartite graphs with large girth has received significant attention in the past.

In designing such graphs, an important question is how the probability of graphs with large spectral gap behaves.

In particular, we construct infinite families of Ramanujan graphs with large guarantees on the orders of their automorphism groups.

Graphs with large spectral gap are important in various fields such as biology, sociology and computer science.

Here, we also note that there are explicit constructions for the regular bipartite graphs with large girth [15].

In this paper we improve Irving and Manlove's result for graphs with large girth; more specifically, we prove the following.

A straightforward observation is that if G is power-law graph with large (G_{diam}), like graph B and D, smaller (delta ) promises better compression ratio.

The theory of random graphs was introduced by Erdős and Rényi (1960) to give a probabilistic construction of a graph with large girth and large chromatic number after discovering that, in graph theory, probabilistic methods are effective in addressing extremal problems (Bollobás 2001; Frieze and Karoński 2016).

It then finds transcripts in the de Bruijn graph with large k value where transcripts from the same gene usually form a single component.

For each genome in turn, the method uses a series of similarity scores (here, tables of BLASTP scores between the candidate genome and the full set of microbial genomes) to construct a weighted, directed graph which we term an intergenomic affinity graph with large connection weights reflecting strong affinities between genomes.

In general, our technique is more effective as the modularity of graph increases (soc-LiveJournal1 0.721 (rightarrow) webbase-2001 0.976 (rightarrow) uk-2002 0.986), mainly because the amount of data transfer is reduced more for the graph with larger modularity (we will see in Fig. 6).