Results 21 to 30 of about 18,169 (133)
[Retracted] Novel Concepts in Bipolar Fuzzy Graphs with Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Many problems of practical interest can be modeled and solved by using bipolar graph algorithms. Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of (ϑ, δ)−homomorphism of BFGs and classify homomorphisms (HMs),
Chang Wan +6 more
wiley +1 more source
Studies of Chordal Ring Networks via Double Metric Dimensions
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Locating the sources of information spreading in networks including tracking down the origins of epidemics, rumors in social networks, and online computer viruses, has a wide range of applications. In many situations, identifying where an epidemic started, or which node in a network served as the source, is crucial. But it can be difficult to determine
M. Ahmad +4 more
wiley +1 more source
A Study on Interval‐Valued Fuzzy Graph with Application in Energy Industry Management
Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 In this paper, we define the concept of level graphs on interval‐valued fuzzy graphs (IVFGs) and introduce the notions of [α, β]−[α, β]− homomorphism, isomorphism, weak isomorphism, and co‐weak isomorphism of IVFGs by [α, β]− homomorphism. Also, an application of homomorphism of IVFGs has been presented by using coloring‐FG.
Xiaoli Qiang +6 more
wiley +1 more source
Novel Concepts in Vague Graphs with Application in Hospital’s Management System
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Many problems of practical interest can be modeled and solved by using vague graph (VG) algorithms. Vague graphs, belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of (η, γ)‐ HMs of VGs and classify homomorphisms (HMs), weak ...
Xiaolong Shi +5 more
wiley +1 more source
European Journal of Combinatorics, 2011 Graph labeling, introduced by \textit{A. Rosa} in [``On certain valuations of the vertices of a graph,'' Theory Graphs, Int. Symp. Rome 1966, 349--355 (1967; Zbl 0193.53204)], deals with assigning integers to the vertices or edges or both satisfying some combinatorial constraint. Labeled graphs serve as useful models for numerous applications such as a
K. Thirusangu +2 more
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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
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
The metric dimension of Cayley digraphs
Discrete Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melodie Fehr +2 more
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