Discrete Mathematics and Symmetry PDF By Angel Garrido

By

Discrete Mathematics and Symmetry

By Angel Garrido

Discrete Mathematics and Symmetry

Contents

About the Special Issue Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix

Preface to ”Discrete Mathematics and Symmetry” . . . . . . . . . . . . . . . . . . . . . . . . . . xi

Michal Staˇs

On the Crossing Numbers of the Joining of a Specific Graph on Six Vertices with the Discrete Graph

Reprinted from: Symmetry 2020, 12, 135, doi:10.3390/sym12010135 . . . . . . . . . . . . . . . . . 1

Abdollah Alhevaz, Maryam Baghipur, Hilal Ahmad Ganie and Yilun Shang

Bounds for the Generalized Distance Eigenvalues of a Graph

Reprinted from: Symmetry 2019, 11, 1529, doi:10.3390/sym11121529 . . . . . . . . . . . . . . . . . 13

Jelena Daki’c, Sanja Janˇci’c-Raˇsovi’c and Irina Cristea

Weak Embeddable Hypernear-Rings

Reprinted from: Symmetry 2019, 11, 964, doi:10.3390/sym11080964 . . . . . . . . . . . . . . . . . 30

Ahmed A. Elsonbaty and Salama Nagy Daoud

Edge Even Graceful Labeling of Cylinder Grid Graph

Reprinted from: Symmetry 2019, 11, 584, doi:10.3390/sym11040584 . . . . . . . . . . . . . . . . . 40

Xiaohong Zhang and XiaoyingWu

Involution Abel–Grassmann’s Groups and Filter Theory of Abel–Grassmann’s Groups

Reprinted from: Symmetry 2019, 11, 553, doi:10.3390/sym11040553 . . . . . . . . . . . . . . . . . 70

Yilun Shang

Isoperimetric Numbers of Randomly Perturbed Intersection Graphs

Reprinted from: Symmetry 2019, 11, 452, doi:10.3390/sym11040452 . . . . . . . . . . . . . . . . . 83

Shunyi Liu

Generalized Permanental Polynomials of Graphs

Reprinted from: Symmetry 2019, 11, 242, doi:10.3390/sym11020242 . . . . . . . . . . . . . . . . . 92

Sergei Sokolov, Anton Zhilenkov, Sergei Chernyi, Anatoliy Nyrkov and David Mamunts

Dynamics Models of Synchronized Piecewise Linear Discrete Chaotic Systems of High Order

Reprinted from: Symmetry 2019, 11, 236, doi:10.3390/sym11020236 . . . . . . . . . . . . . . . . . 104

Michal Staˇs

Determining Crossing Number of Join of the Discrete Graph with Two Symmetric Graphs of

Order Five

Reprinted from: Symmetry 2019, 11, 123, doi:10.3390/sym11020123 . . . . . . . . . . . . . . . . . 116

Salama Nagy Daoud

Edge Even Graceful Labeling of Polar Grid Graphs

Reprinted from: Symmetry 2019, 11, 38, doi:10.3390/sym11010038 . . . . . . . . . . . . . . . . . . 125

Xiujun Zhang, Xinling Wu, Shehnaz Akhter, Muhammad Kamran Jamil, Jia-Bao Liu,

Mohammad Reza Farahani

Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized

Bridge Molecular Graphs

Reprinted from: Symmetry 2018, 10, 751, doi:10.3390/sym10120751 . . . . . . . . . . . . . . . . . 151

Lifeng Li, Qinjun Luo

Sufficient Conditions for Triangular Norms Preserving ⊗−Convexity

Reprinted from: Symmetry 2018, 10, 729, doi:10.3390/sym10120729 . . . . . . . . . . . . . . . . . 167

Huilin Xu and Yuhui Xiao

A Novel Edge Detection Method Based on the Regularized Laplacian Operation

Reprinted from: Symmetry 2018, 10, 697, doi:10.3390/sym10120697 . . . . . . . . . . . . . . . . . 177

Jia-Bao Liu and Salama Nagy Daoud

The Complexity of Some Classes of Pyramid Graphs Created from a Gear Graph

Reprinted from: Symmetry 2018, 10, 689, doi:10.3390/sym10120689 . . . . . . . . . . . . . . . . . 186

Zhan-Ao Xue, Dan-Jie Han, Min-Jie Lv and Min Zhang

Novel Three-Way Decisions Models with Multi-Granulation Rough Intuitionistic Fuzzy Sets

Reprinted from: Symmetry 2018, 10, 662, doi:10.3390/sym10110662 . . . . . . . . . . . . . . . . . 207

Firstname Lastname, Firstname Lastname and Firstname Lastname

Maximum Detour–Harary Index for Some Graph Classes

Reprinted from: Symmetry 2018, 10, 608, doi:10.3390/sym10110608 . . . . . . . . . . . . . . . . . 232

Xiaohong Zhang, Rajab Ali Borzooei and Young Bae Jun

Q-Filters of Quantum B-Algebras and Basic Implication Algebras

Reprinted from: Symmetry 2018, 10, 573, doi:10.3390/sym10110573 . . . . . . . . . . . . . . . . . 244

Aykut Emniyet and Memet S﹐ ahin

Fuzzy Normed Rings

Reprinted from: Symmetry 2018, 10, 515, doi:10.3390/sym10100515 . . . . . . . . . . . . . . . . . 258

Fabian Ball and Andreas Geyer-Schulz

Invariant Graph Partition Comparison Measures

Reprinted from: Symmetry 2018, 10, 504, doi:10.3390/sym10100504 . . . . . . . . . . . . . . . . . 266

Yanlan Mei, Yingying Liang and Yan Tu

A Multi-Granularity 2-Tuple QFD Method and Application to Emergency Routes Evaluation

Reprinted from: Symmetry 2018, 10, 484, doi:10.3390/sym10100484 . . . . . . . . . . . . . . . . . 290

Xiaoying Wu and Xiaohong Zhang

The Structure Theorems of Pseudo-BCI Algebras in Which Every Element is Quasi-Maximal

Reprinted from: Symmetry 2018, 10, 465, doi:10.3390/sym10100465 . . . . . . . . . . . . . . . . . 306

Qing Yang, Zengtai You and Xinshang You

A Note on the Minimum Size of a Point Set Containing Three Nonintersecting Empty Convex

Polygons

Reprinted from: Symmetry 2018, 10, 447, doi:10.3390/sym10100447 . . . . . . . . . . . . . . . . . 319

Zhan-ao Xue, Min-jie Lv, Dan-jie Han and Xian-wei Xin

Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on

Dominance Relation

Reprinted from: Symmetry 2018, 10, 446, doi:10.3390/sym10100446 . . . . . . . . . . . . . . . . . 336

Jingqian Wang, Xiaohong Zhang

Four Operators of Rough Sets Generalized to Matroids and a Matroidal Method

for Attribute Reduction

Reprinted from: Symmetry 2018, 10, 418, doi:10.3390/sym10090418 . . . . . . . . . . . . . . . . . 360

Hu Zhao and Hong-Ying Zhang

Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain

Reprinted from: Symmetry 2018, 10, 417, doi:10.3390/sym10090417 . . . . . . . . . . . . . . . . . 376

Mobeen Munir, Asim Naseem, Akhtar Rasool, Muhammad Shoaib Saleem and

Shin Min Kang

Fixed Points Results in Algebras of Split Quaternion and Octonion

Reprinted from: Symmetry 2018, 10, 405, doi:10.3390/sym10090405 . . . . . . . . . . . . . . . . . 388

Jianping Wu, Boliang Lin, Hui Wang, Xuhui Zhang, ZhongkaiWang and JiaxiWang

Optimizing the High-Level Maintenance Planning Problem of the Electric Multiple Unit Train

Using a Modified Particle Swarm Optimization Algorithm

Reprinted from: Symmetry 2018, 10, 349, doi:10.3390/sym10080349 . . . . . . . . . . . . . . . . . 406

Jihyun Choi and Jae-Hyouk Lee

Binary Icosahedral Group and 600-Cell

Reprinted from: Symmetry 2018, 10, 326, doi:10.3390/sym10080326 . . . . . . . . . . . . . . . . . 420

Marija Maksimovi’c

Enumeration of Strongly Regular Graphs on up to 50 Vertices Having S3 as an Automorphism Group

Reprinted from: Symmetry 2018, 10, 212, doi:10.3390/sym10060212 . . . . . . . . . . . . . . . . . 434

This book is US$10. Order for this book:
(Request for free sample pages click on "Order Now" button)

Book Order
Or, Send email: [email protected]

Share this Book!

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.