These graphs play an important role in the statistical theory of D-optimal weighing designs.
Circulant graphs have various applications in the design of interconnection networks in parallel and distributed computing, while integral graphs play an important role in modeling quantum spin networks supporting the perfect state transfer.
As it has been mentioned in some parts of the previous sections, it is well known that some special type of matrices, indexes and energies obtained from graphs play an important role in applications, especially, in computer science, optimization and chemistry.
The study demonstrated the inter- and intra-examiner reproducibility for manually aligning the graphs to range from 0.791 to 0.987 and also showed that aligning the graphs plays a role in maximizing the percent similarity between graphs.
In such applications critical path characteristics of a task graph play a key role in finding an MSV-aware floorplan that attempts to optimize temperature and power simultaneously.
The problem of community detection (or clustering) in graphs plays an important role in analysis of complex large-scale networks and big data structures, arising in natural, behavioral and engineering sciences.
Such clusters, or communities, can be considered as fairly independent compartments of a graph, playing a similar role like, e.g., the tissues or the organs in the human body.
As the k-mer size of de Bruijn graph plays a crucial role in ABYSS's assembly, we have also tried to assess the impact of k-mer size on metagenomic assemblies by comparing the contigs produced from different runs of the k-mer parameter.
Interval graphs play important roles in analysis of DNA chains in Benzer [S.
Graph decompositions play a crucial role in structural graph theory and in designing efficient graph algorithms.
