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A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs
Joint Authors
Samanta, Sovan
Alanazi, Abdulaziz M.
Das, Kousik
Muhiuddin, G.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Social networks are represented using graph theory.
In this case, individuals in a social network are assumed as nodes.
Sometimes institutions or groups are also assumed as nodes.
Institutions and such groups are assumed as cluster nodes that contain individuals or simple nodes.
Hypergraphs have hyperedges that include more than one node.
In this study, cluster hypergraphs are introduced to generalize the concept of hypergraphs, where cluster nodes are allowed.
Sometimes competitions in the real world are done as groups.
Cluster hypergraphs are used to represent such kinds of competitions.
Competition cluster hypergraphs of semidirected graphs (a special type of mixed graphs called semidirected graphs, where the directed and undirected edges both are allowed) are introduced, and related properties are discussed.
To define competition cluster hypergraphs, a few properties of semidirected graphs are established.
Some associated terms on semidirected graphs are studied.
At last, a numerical application is illustrated.
American Psychological Association (APA)
Samanta, Sovan& Muhiuddin, G.& Alanazi, Abdulaziz M.& Das, Kousik. 2020. A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1193904
Modern Language Association (MLA)
Samanta, Sovan…[et al.]. A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1193904
American Medical Association (AMA)
Samanta, Sovan& Muhiuddin, G.& Alanazi, Abdulaziz M.& Das, Kousik. A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1193904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193904