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Lp,q-Label Coloring Problem with Application to Channel Allocation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, the Lp,q-coloring problem of the graph is studied with application to channel allocation of the wireless network.
First, by introducing two new logical operators, some necessary and sufficient conditions for solving the Lp,q-coloring problem are given.
Moreover, it is noted that all solutions of the obtained logical equations are corresponding to each coloring scheme.
Second, by using the semitensor product, the necessary and sufficient conditions are converted to an algebraic form.
Based on this, all coloring schemes can be obtained through searching all column indices of the zero columns.
Finally, the obtained result is applied to analyze channel allocation of the wireless network.
Furthermore, an illustration example is given to show the effectiveness of the obtained results in this paper.
American Psychological Association (APA)
Liu, Zhenbin& Wu, Yuqiang. 2020. Lp,q-Label Coloring Problem with Application to Channel Allocation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195892
Modern Language Association (MLA)
Liu, Zhenbin& Wu, Yuqiang. Lp,q-Label Coloring Problem with Application to Channel Allocation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1195892
American Medical Association (AMA)
Liu, Zhenbin& Wu, Yuqiang. Lp,q-Label Coloring Problem with Application to Channel Allocation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195892
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195892