4.6 Article Retracted Publication

被撤回的出版物: Novel Concepts in Bipolar Fuzzy Graphs with Applications (Retracted article. See vol. 2023, 2023)

Related references

Note: Only part of the references are listed.
Article Operations Research & Management Science

STRONG EQUALITY OF ROMAN AND PERFECT ROMAN DOMINATION IN TREES

Zehui Shao et al.

Summary: This paper investigates the properties of Roman dominating functions in graphs, introduces the definition of perfect Roman dominating functions, and provides a method to determine if a function is a perfect Roman dominating function under the minimum weight condition. It also proves the NP-hardness of deciding the equivalence between two types of functions and gives a constructive characterization for trees.

RAIRO-OPERATIONS RESEARCH (2022)

Article Mathematics, Applied

New Concepts in the Vague Graph Structure with an Application in Transportation

Xiaolong Shi et al.

Summary: This paper introduces the advantages of fuzzy graph models when facing problems that cannot be represented by fuzzy graphs. In the fuzzy graph structure, different concepts are defined to handle the vagueness connected with incompatible and determinate information in real-world problems. Finally, an application of domination in medical sciences is presented.

JOURNAL OF FUNCTION SPACES (2022)

Article Mathematics, Applied

A note on domination number in maximal outerplanar graphs

Chanjuan Liu

Summary: This article investigates the dominating set problem in maximal outerplanar and planar graphs, revealing the incompleteness of previous results and providing improved conclusions for the problem.

DISCRETE APPLIED MATHEMATICS (2021)

Article Mathematics

A Novel Description on Vague Graph with Application in Transportation Systems

Zheng Kou et al.

Summary: FG models are effective in modeling natural and man-made structures, but face challenges in dealing with inconsistent and indeterminate information in real-life problems. In contrast, VG can handle the uncertainty associated with real-world problems, where FGs may fail to provide satisfactory results.

JOURNAL OF MATHEMATICS (2021)

Article Physics, Multidisciplinary

Equitable Domination in Vague Graphs With Application in Medical Sciences

Yongsheng Rao et al.

Summary: Fuzzy graph (FG) models and vague graph (VG) models each have their own advantages in dealing with uncertain information, and when combined with domination theory, they can be used to solve various real-world problems such as networking, biology, and medical science. Introducing new definitions and concepts in VGs has expanded the understanding and application of dominating sets.

FRONTIERS IN PHYSICS (2021)

Article Mathematics

Reinforcement Number of a Graph with respect to Half-Domination

G. Muhiuddin et al.

Summary: This paper introduces the concept of reinforcement number related to half-domination and explores various upper bounds for this parameter. The AMS subject classification includes 05C38, 05C40, 05C69.

JOURNAL OF MATHEMATICS (2021)

Article Physics, Multidisciplinary

Certain Properties of Domination in Product Vague Graphs With an Application in Medicine

Xiaolong Shi et al.

Summary: Product vague graph (PVG) is a significant issue in fuzzy graph theory, with applications in the medical sciences. This study introduces new concepts and properties related to domination in PVGs, and proposes an implementation of dominating sets in medicine related to the COVID-19 pandemic.

FRONTIERS IN PHYSICS (2021)

Article Mathematics

A Novel Description on Vague Graph with Application in Transportation Systems

Zheng Kou et al.

Summary: FG models and VG models cater to different types of information uncertainties, the regularity definitions in RVG have significant implications in network studies, and nodes in VG models do not necessarily have similar AS.

JOURNAL OF MATHEMATICS (2021)

Article Multidisciplinary Sciences

Vague Graph Structure with Application in Medical Diagnosis

Saeed Kosari et al.

SYMMETRY-BASEL (2020)

Article Mathematics

Certain Properties of Vague Graphs with a Novel Application

Yongsheng Rao et al.

MATHEMATICS (2020)

Article Multidisciplinary Sciences

A Study on Domination in Vague Incidence Graph and Its Application in Medical Sciences

Yongsheng Rao et al.

SYMMETRY-BASEL (2020)

Article Computer Science, Artificial Intelligence

Cubic Graphs and their Application to a Traffic Flow Problem

G. Muhiuddin et al.

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS (2020)

Article Computer Science, Artificial Intelligence

Morphism of m-Polar Fuzzy Graph

Ch. Ramprasad et al.

ADVANCES IN FUZZY SYSTEMS (2017)

Article Multidisciplinary Sciences

Some isomorphic properties of m-polar fuzzy graphs with applications

Ganesh Ghorai et al.

SPRINGERPLUS (2016)

Article Mathematics, Applied

Morphism of bipolar intuitionistic fuzzy graphs

D. Ezhilmaran et al.

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY (2015)

Article Mathematics, Applied

Intuitionistic Fuzzy Graphs with Categorical Properties

Hossein Rashmanlou et al.

FUZZY INFORMATION AND ENGINEERING (2015)

Article Mathematics, Applied

Complement and Isomorphism on Bipolar Fuzzy Graphs

Ali Asghar Talebi et al.

FUZZY INFORMATION AND ENGINEERING (2014)

Article Multidisciplinary Sciences

Cayley Bipolar Fuzzy Graphs

Noura O. Alshehri et al.

SCIENTIFIC WORLD JOURNAL (2013)

Article Computer Science, Information Systems

Bipolar fuzzy graphs

Muhammad Akram

INFORMATION SCIENCES (2011)

Review Computer Science, Information Systems

Is there a need for fuzzy logic?

Lotfi A. Zadeh

INFORMATION SCIENCES (2008)