Reliability analysis of circulant graphs
Webdokimov and Ponomarenko investigate normal circulant graphs, whose automorphisms are induced by automorphisms of the underlying cyclic group. Since non-trivial circulant … WebMar 1, 1998 · The circulant graphs are of particular interest as models of communication networks. In this work, we present new reliability analysis results for circulants based on …
Reliability analysis of circulant graphs
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WebThe objective of this study was to determine the utility of computed tomography perfusion (CTP) scans in diagnosing acute ischemic stroke (AIS). CTP abnormalities in two contiguous supratentorial levels were correlated with diffusion weighted image (DWI) abnormalities on magnetic resonance imaging (the standard for stroke diagnosis) performed within 1 week … WebA detailed analysis of some degree-four circulant graphs has allowed us to detail the weight distribution for these signal spaces. A new family of perfect codes over Gaussian integers will be defined and characterized by providing a solution to the perfect t-dominating set problem over the circulant graphs presented.
WebIn mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions (f and g) that produces a third function that expresses how the shape of one is modified by the other.The term convolution refers to both the result function and to the process of computing it. It is defined as the integral of the product of the two … WebAug 9, 2012 · The circulant graph is a graph with vertex set ℤn , an additive group of integers modulo n, and two vertices labeled i and j adjacent if and only if i − j (mod n) ∈ C, where C …
WebA Cayley graph is a graph built from a group G where the vertex set of the graph is the set of elements of group G, with vertices x and y adjacent if and only if x − y ∈ S where S is the connection set; a circulant graph is then a Cayley graph where the group is G = Z n. Note. The complete graph is a circulant graph with connection set C = Z n. Webof signal processing, where the Graph Fourier Transform (GFT) of a circulant graph is a simple permutation of the DFT. Further, circulant matrices (and hence graphs) can be e ciently stored as they are entirely characterized by only one row. Our main focus lies on undirected circulant graphs, as the associated symmetry yields real-valued lters,
WebJun 15, 2024 · Define a circulant numbering of a circulant graph to be a labeling of the vertices of the graph by the numbers from 0 to n − 1 in such a way that, if some two vertices numbered x and y are adjacent, then every two vertices numbered z and (z − x + y) mod n are adjacent. Equivalently, a circulant numbering is a numbering of the vertices for ...
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