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Special Issue: Graph theory and its applications

Guest Editor

Prof. Jose M. Rodriguez
Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
Email: jomaro@math.uc3m.es

Manuscript Topics


Graph theory has been the subject of much research and development in recent decades, due to its applicability to a wide range of real-world problems and its usefulness in developing efficient algorithms for solving these problems. The goal of this Special Issue focused on graph theory and its applications is to bring together cutting-edge research in this area, obtaining theoretical results and exploring the many different ways that graph theory can be used to solve real-world problems.


Topics of interest include (but are not limited to):

• Domination in graphs.
• Differential of graphs.
• Polynomials in graphs.
• Alliances in graphs.
• Graph optimization problems.
• Complex systems and social networks.
• Graph theory in Mathematical Chemistry.
• Topological indices.
• Polynomials on topological indices.
• Discrete geometry.
• Metric graph theory.
• Hyperbolic graphs.
• Algorithms to solve problems related to graphs.
• Computer networking.
• Graphs in data mining.
• Operations research.


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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 October 2023

Published Papers(27)

Research article
Distance antimagic labeling of circulant graphs
Syafrizal Sy Rinovia Simanjuntak Tamaro Nadeak Kiki Ariyanti Sugeng Tulus Tulus
2024, Volume 9, Issue 8: 21177-21188. doi: 10.3934/math.20241028
Abstract HTML PDF Viewed (1174)
Research article
Minimum atom-bond sum-connectivity index of trees with a fixed order and/or number of pendent vertices
Tariq A. Alraqad Igor Ž. Milovanović Hicham Saber Akbar Ali Jaya P. Mazorodze Adel A. Attiya
2024, Volume 9, Issue 2: 3707-3721. doi: 10.3934/math.2024182
Abstract HTML PDF Cited (6) Viewed (1619)
Research article
Radio number of $ 2- $ super subdivision for path related graphs
Baskar Mari Ravi Sankar Jeyaraj
2024, Volume 9, Issue 4: 8214-8229. doi: 10.3934/math.2024399
Abstract HTML PDF Cited (3) Viewed (1058)
Research article
On the $ A_{\alpha^-} $-spectra of graphs and the relation between $ A_{\alpha} $- and $ A_{\alpha^-} $-spectra
Wafaa Fakieh Zakeiah Alkhamisi Hanaa Alashwali
2024, Volume 9, Issue 2: 4587-4603. doi: 10.3934/math.2024221
Abstract HTML PDF Viewed (975)
Research article
Multiplicative topological indices: Analytical properties and application to random networks
R. Aguilar-Sánchez J. A. Mendez-Bermudez José M. Rodríguez José M. Sigarreta
2024, Volume 9, Issue 2: 3646-3670. doi: 10.3934/math.2024179
Abstract HTML PDF Cited (1) Viewed (1368)
Research article
A study on centrality measures in weighted networks: A case of the aviation network
Shuying Zhao Shaowei Sun
2024, Volume 9, Issue 2: 3630-3645. doi: 10.3934/math.2024178
Abstract HTML PDF Cited (1) Viewed (1302)
Research article
The existence of a graph whose vertex set can be partitioned into a fixed number of strong domination-critical vertex-sets
Weisheng Zhao Ying Li Ruizhi Lin
2024, Volume 9, Issue 1: 1926-1938. doi: 10.3934/math.2024095
Abstract HTML PDF Cited (1) Viewed (1263)
Research article
More on complex hesitant fuzzy graphs
AbdUlazeez Alkouri Eman A. AbuHijleh Ghada Alafifi Eman Almuhur Fadi M. A. Al-Zubi
2023, Volume 8, Issue 12: 30429-30444. doi: 10.3934/math.20231554
Abstract HTML PDF Cited (2) Viewed (1844)
Research article
Graphs that embedded in any fixed surfaces with sufficiently large maximum degree $ \Delta $ is total-$ (\Delta +1) $-colorable
Qiming Fang Li Zhang
2024, Volume 9, Issue 1: 1523-1534. doi: 10.3934/math.2024075
Abstract HTML PDF Viewed (1155)
Research article
Modern technology, artificial intelligence, machine learning and internet of things based revolution in sports by employing graph theory matrix approach
Lingtao Wen Zebo Qiao Jun Mo
2024, Volume 9, Issue 1: 1211-1226. doi: 10.3934/math.2024060
Abstract HTML PDF Cited (1) Viewed (1723)
Research article
Unveiling novel eccentric neighborhood forgotten indices for graphs and gaph operations: A comprehensive exploration of boiling point prediction
Suha Wazzan Hanan Ahmed
2024, Volume 9, Issue 1: 1128-1165. doi: 10.3934/math.2024056
Abstract HTML PDF Cited (1) Viewed (1232)
Research article
Extremal values of the first reformulated Zagreb index for molecular trees with application to octane isomers
Shabana Anwar Muhammad Kamran Jamil Amal S. Alali Mehwish Zegham Aisha Javed
2024, Volume 9, Issue 1: 289-301. doi: 10.3934/math.2024017
Abstract HTML PDF Cited (2) Viewed (1364)
Research article
Signed double Italian domination
Ahlam Almulhim
2023, Volume 8, Issue 12: 30895-30909. doi: 10.3934/math.20231580
Abstract HTML PDF Cited (1) Viewed (1141)
Research article
A comprehensive study on fuzzy and crisp graph indices: generalized formulae, proximity and accuracy analysis
Muhammad Umar Mirza Rukhshanda Anjum Maged Z. Youssef Turki Alsuraiheed
2023, Volume 8, Issue 12: 30922-30939. doi: 10.3934/math.20231582
Abstract HTML PDF Cited (1) Viewed (1526)
Research article
On the hyperbolicity of Delaunay triangulations
Walter Carballosa José M. Rodríguez José M. Sigarreta
2023, Volume 8, Issue 12: 28780-28790. doi: 10.3934/math.20231474
Abstract HTML PDF Viewed (1234)
Research article
The even vertex magic total labelings of $ t $-fold wheels
Supaporn Saduakdee Varanoot Khemmani
2023, Volume 8, Issue 11: 27513-27527. doi: 10.3934/math.20231407
Abstract HTML PDF Viewed (1339)
Research article
Class of crosscap two graphs arising from lattices-Ⅱ
Jehan A. Al-Bar T. Asir K. Mano Wafaa M. Fakieh
2023, Volume 8, Issue 10: 24802-24824. doi: 10.3934/math.20231265
Abstract HTML PDF Viewed (1285)
Research article
Unbalanced signed graphs with eigenvalue properties
Rashad Ismail Saira Hameed Uzma Ahmad Khadija Majeed Muhammad Javaid
2023, Volume 8, Issue 10: 24751-24763. doi: 10.3934/math.20231262
Abstract HTML PDF Cited (1) Viewed (1390)
Research article
On the general atom-bond sum-connectivity index
Abeer M. Albalahi Zhibin Du Akbar Ali
2023, Volume 8, Issue 10: 23771-23785. doi: 10.3934/math.20231210
Abstract HTML PDF Cited (4) Viewed (1834)
Research article
A new generalization of edge-irregular evaluations
Martin Bača Muhammad Imran Zuzana Kimáková Andrea Semaničová-Feňovčíková
2023, Volume 8, Issue 10: 25249-25261. doi: 10.3934/math.20231287
Abstract HTML PDF Viewed (1081)
Research article
The $ g $-extra $ H $-structure connectivity and $ g $-extra $ H $-substructure connectivity of hypercubes
Bo Zhu Shumin Zhang Huifen Ge Chengfu Ye
2023, Volume 8, Issue 10: 24848-24861. doi: 10.3934/math.20231267
Abstract HTML PDF Viewed (1321)
Research article
Partial domination of network modelling
Shumin Zhang Tianxia Jia Minhui Li
2023, Volume 8, Issue 10: 24225-24232. doi: 10.3934/math.20231235
Abstract HTML PDF Viewed (1315)
Research article
Skewness and the crossing numbers of graphs
Zongpeng Ding
2023, Volume 8, Issue 10: 23989-23996. doi: 10.3934/math.20231223
Abstract HTML PDF Viewed (1479)
Research article
Remarks on the end-topology of some discrete groups
Daniele Ettore Otera
2023, Volume 8, Issue 9: 20143-20153. doi: 10.3934/math.20231026
Abstract HTML PDF Viewed (1310)
Research article
The Sombor index and coindex of two-trees
Zenan Du Lihua You Hechao Liu Yufei Huang
2023, Volume 8, Issue 8: 18982-18994. doi: 10.3934/math.2023967
Abstract HTML PDF Viewed (1459)
Research article
On $ ABC $ energy and its application to anticancer drugs
Alaa Altassan Muhammad Imran Bilal Ahmad Rather
2023, Volume 8, Issue 9: 21668-21682. doi: 10.3934/math.20231105
Abstract HTML PDF Cited (3) Viewed (1413)
Research article
Construction of nonlinear component of block cipher using coset graph
Adil Waheed Fazli Subhan Mazliham Mohd Suud Muhammad Yasir Hayat Malik Alina Mirza Farkhanda Afzal
2023, Volume 8, Issue 9: 21644-21667. doi: 10.3934/math.20231104
Abstract HTML PDF Cited (5) Viewed (2006)