Define digraph. digraph synonyms, digraph pronunciation, digraph translation, English dictionary definition of digraph. n. 1. A pair of letters representing a single speech sound, such as the ph in pheasant or the ea in beat. 2. A single character consis
By definition, the homology digraph of a preordered space will be a directional graded vector space, i.e., a graded vector space equipped with a bilinear relation. In this section, we define these algebraic concepts and prove fundamental results about them. Throughout this paper we work over...
The theory of signed graph was originated as early as 1946, when Heider studied the attitudes and cognitive organization towards persons [12]. Then in 1956, Cartwright and Harary made a conclusion of Heider’s research by graph theory, which provided a formal definition of structural balance [...
For a signed directed graph 𝒢 that meets the condition in Definition 1, define 𝐋𝐆=𝐋+𝐆. In the following, we will introduce the notation for signed digraphs and elaborate on the relationship between the Laplacian matrix and signed graphs. A signed digraph 𝐺=(𝑉,𝐸,𝐴) co...
Assuming that there are N turbines in the OWF, we will explain how to construct the original wake digraph 𝒢G in detail. To demonstrate the advanced approach, some definitions as follows are necessary: Definition 1. The original wake digraph𝒢=(𝒱, ℰ)G=(V, ℰ)where vertices𝒱V...