Results 31 to 40 of about 18,773 (121)
Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
wiley +1 more source
The Manhattan product of digraphs
Electronic Journal of Graph Theory and Applications, 2013 We study the main properties of a new product of bipartite digraphs which we call Manhattan product. This product allows us to understand the subjacent product in the Manhattan street networks and can be used to built other networks with similar good ...
Francesc Comellas +2 more
doaj +1 more source
Improved Lower Bound of LFMD with Applications of Prism‐Related Networks
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The different distance‐based parameters are used to study the problems in various fields of computer science and chemistry such as pattern recognition, image processing, integer programming, navigation, drug discovery, and formation of different chemical compounds.
Muhammad Javaid +4 more
wiley +1 more source
Normal Minimal Cayley Digraphs of Abelian Groups [PDF]
, 2000 A Cayley digraph X=Cay(G, S) is said to be normal for G if the regular representation R(G) of G is normal in the full automorphism group Aut(X) of X. A characterization of normal minimal Cayley digraphs for abelian groups is given.
Ying, Bao +3 more
core +1 more source
Geometry of Generated Groups with Metrics Induced by Their Cayley Color Graphs
Analysis and Geometry in Metric Spaces, 2019 Let G be a group and let S be a generating set of G. In this article,we introduce a metric dC on G with respect to S, called the cardinal metric.We then compare geometric structures of (G, dC) and (G, dW), where dW denotes the word metric. In particular,
Suksumran Teerapong
doaj +1 more source
On the Characteristic Polynomial of $n$-Cayley Digraphs [PDF]
The Electronic Journal of Combinatorics, 2013 A digraph $\Gamma$ is called $n$-Cayley digraph over a group $G$, if there exists a semiregular subgroup $R_G$ of Aut$(\Gamma)$ isomorphic to $G$ with $n$ orbits. In this paper, we represent the adjacency matrix of $\Gamma$ as a diagonal block matrix in terms of irreducible representations of $G$ and determine its characteristic polynomial ...
Majid Arezoomand, Bijan Taeri
openaire +3 more sources
A method to determine algebraically integral Cayley digraphs on finite abelian group [PDF]
, 2020 Researchers in the past have studied eigenvalues of Cayley digraphs or graphs. We are interested in characterizing Cayley digraphs on a finite commutative group $G$ whose eigenvalues are algebraic integers in a given number field $K.$ We succeed in ...
Li, Fei
core +1 more source
Normality of 2-Cayley digraphs
Discrete Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Arezoomand, Bijan Taeri
openaire +1 more source
Non-Cayley-Isomorphic Cayley graphs from non-Cayley-Isomorphic Cayley digraphs
Australas. J Comb., 2023 10 ...
Dave Witte Morris, Joy Morris
openaire +4 more sources
Cayley automaton semigroups [PDF]
, 2015 Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
core +2 more sources