1. On Total Regularity of Mixed Graphs with Order Close to the Moore Bound

   • James Tuite
   • Grahame Erskine

   Original Paper Open access 30 October 2019 Pages: 1253 - 1272

   

2. On the Integrability of Strongly Regular Graphs

   • Jack H. Koolen
   • Masood Ur Rehman
   • Qianqian Yang

   Original Paper 21 March 2019 Pages: 1273 - 1291

   

3. Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme

   • Takuya Ikuta
   • Akihiro Munemasa

   Original Paper 16 May 2019 Pages: 1293 - 1304

4. Periodicities of Grover Walks on Distance-Regular Graphs

   • Yusuke Yoshie

   Original Paper 10 July 2019 Pages: 1305 - 1321

   

5. Further Results on Existentially Closed Graphs Arising from Block Designs

   • Xiao-Nan Lu

   Original Paper 15 April 2019 Pages: 1323 - 1335

6. On Enumeration of Families of Genus Zero Permutations

   • Sen-Peng Eu
   • Tung-Shan Fu
   • Chien-Tai Ting

   Original paper 01 November 2019 Pages: 1337 - 1360

   

7. Exceptional Balanced Triangulations on Surfaces

   • Steven Klee
   • Satoshi Murai
   • Yusuke Suzuki

   Original Paper 10 January 2019 Pages: 1361 - 1373

   

8. Contractible Edges and Removable Edges in 3-Connected Graphs

   • Liqiong Xu
   • Xiaofeng Guo

   Original Paper 28 September 2019 Pages: 1375 - 1385

9. Geometric Antipodal Distance-Regular Graphs with a Given Smallest Eigenvalue

   • Sejeong Bang

   Original Paper 12 August 2019 Pages: 1387 - 1399

10. An Improved Bound in Vizing’s Conjecture

    • Shira Zerbib

    Original Paper 04 September 2019 Pages: 1401 - 1404

11. Cyclic Permutation Groups that are Automorphism Groups of Graphs

    • Mariusz Grech
    • Andrzej Kisielewicz

    Original Paper Open access 13 September 2019 Pages: 1405 - 1432

12. Some Meta-Cayley Graphs on Dihedral Groups

    • I. Allie
    • E. Mwambene

    Original Paper 12 September 2019 Pages: 1433 - 1446

    

13. Contractible Non-edges in 3-Connected Infinite Graphs

    • Tsz Lung Chan

    Original Paper 05 September 2019 Pages: 1447 - 1458

    

14. Characterizing the Difference Between Graph Classes Defined by Forbidden Pairs Including the Claw

    • Guantao Chen
    • Michitaka Furuya
    • Ping Yang

    Original Paper 19 October 2019 Pages: 1459 - 1474

    

15. On Almost Empty Monochromatic Triangles and Convex Quadrilaterals in Colored Point Sets

    • Jorge Cravioto-Lagos
    • Alejandro Corinto González-Martínez
    • Jorge Urrutia

    Original Paper 04 September 2019 Pages: 1475 - 1493

    

16. Extremal Union-Closed Set Families

    • Guantao Chen
    • Hein van der Holst
    • Nana Li

    Original Paper 10 September 2019 Pages: 1495 - 1502

17. Ihara Zeta Function and Spectrum of the Cone Over a Semiregular Bipartite Graph

    • Deqiong Li
    • Yaoping Hou

    Original Paper 13 August 2019 Pages: 1503 - 1517

    

18. On the Number of Containments in P-free Families

    • Dániel Gerbner
    • Abhishek Methuku
    • Máté Vizer

    Original Paper Open access 11 September 2019 Pages: 1519 - 1540

19. On the Relation of Separability, Bandwidth and Embedding

    • Béla Csaba
    • Bálint Vásárhelyi

    Original Paper Open access 09 September 2019 Pages: 1541 - 1553

    

20. Exact Distance Graphs of Product Graphs

    • Boštjan Brešar
    • Nicolas Gastineau
    • Olivier Togni

    Original Paper 03 September 2019 Pages: 1555 - 1569

    

21. List Coloring a Cartesian Product with a Complete Bipartite Factor

    • Hemanshu Kaul
    • Jeffrey A. Mudrock

    Original Paper 03 September 2019 Pages: 1571 - 1583

22. On Rainbow-Cycle-Forbidding Edge Colorings of Finite Graphs

    • Dean Hoffman
    • Paul Horn
    • Andrew Owens

    Original Paper 01 October 2019 Pages: 1585 - 1596

    

23. There Does Not Exist a Distance-Regular Graph with Intersection Array \(\{80, 54,12; 1, 6, 60\}\)

    • Jack H. Koolen
    • Quaid Iqbal
    • Masood Ur Rehman

    Original Paper 14 September 2019 Pages: 1597 - 1608

24. Cayley Graphs Over Green \(^*\) Relations of Abundant Semigroups

    • Chunhua Li
    • Baogen Xu
    • Huawei Huang

    Original Paper 30 September 2019 Pages: 1609 - 1617

25. Naturally ordered strong endomorphisms on graphs

    • Nirutt Pipattanajinda
    • Yangkok Kim
    • Srichan Arworn

    Original Paper 23 October 2019 Pages: 1619 - 1632

    

26. On Graph Fall-Coloring: Existence and Constructions

    • Hemanshu Kaul
    • Christodoulos Mitillos

    Original Paper 03 September 2019 Pages: 1633 - 1646

27. On the Maximum Diameter of Path-Pairable Graphs

    • António Girão
    • Kamil Popielarz
    • Richard Snyder

    Original Paper 14 September 2019 Pages: 1647 - 1657

28. Complete Graph-Tree Planar Ramsey Numbers

    • Yaojun Chen
    • Xiaolan Hu

    Original Paper 03 September 2019 Pages: 1659 - 1671

    

29. Cospectral Bipartite Graphs with the Same Degree Sequences but with Different Number of Large Cycles

    • Ali Dehghan
    • Amir H. Banihashemi

    Original Paper 22 October 2019 Pages: 1673 - 1693

    

30. Maps Corresponding to the Subgroups \(\varGamma _0(N)\) of the Modular Group

    • Nazlı Yazıcı Gözütok
    • Uğur Gözütok
    • Bahadır Özgür Güler

    Original Paper 29 August 2019 Pages: 1695 - 1705

    

31. Hamiltonian Cycles in Normal Cayley Graphs

    • Juan José Montellano-Ballesteros
    • Anahy Santiago Arguello

    Original Paper 18 September 2019 Pages: 1707 - 1714

    

32. The Largest Graphs with Given Order and Diameter: A Simple Proof

    • Pu Qiao
    • Xingzhi Zhan

    Original Paper 12 September 2019 Pages: 1715 - 1716