4, 46, 47 Tentative scans of even shorter distances (not shown in the graph) prove that aHFS approaches a maximum value at a certain distance before it drops down rather steeply, which can be explained by a strong intermixing of the s orbitals with orbitals of higher angular momentum.
The PCA graph proved that all irradiated individual plants of C. alismatifolia varieties are phenotypically different from their non-irradiated individuals.
The de Bruijn graph proved a useful data structure for this purpose (Pevzner et al., 2001) and is used by pioneering short-read assemblers such as Velvet (Zerbino and Birney, 2008) and EULER-USR (Chaisson et al., 2009), and subsequent assemblers including SOAPdenovo (Li et al., 2010), ALLPATHS 2 (MacCallum et al., 2009), ABySS (Simpson et al., 2009) and Cortex (Iqbal et al., 2012).
Modeling Edge graph proved great contribution to make fasten the algorithm.
For the throughput, we first present a relation between S- and G-IDNC graphs (proved in the appendix): The minimum clique partition solutions of S-IDNC and G-IDNC graphs have the same size.
(v) follows from the result for star graphs proved in [3].
Hell et al. [14]-[16] hanalyzedyzed algorithmic and complexity aspects of chordal- (k,ℓ) graphs, proving that the recognition problems of chordal- (k,ℓ) and strongly chordal- (k,ℓ) graphs are in P, using the following characterization: A chordal graph G is (k,ℓ) if and only if G does not contain a (ℓ+1 Kk+1 as an induced subgraph (Figure 1) [[15]].
A quick search turns up graphs "proving" Facebook caused the Greek debt crisis, or that a pirate shortage "caused" global warming.
You don't get smokers to quit by showing them plain-English graphs proving that smoking eventually has a suboptimal influence on your health.
Unfortunately, some of these methods, designed for both directed and undirected graphs, proved to be time-consuming.
