On Total Regularity of Mixed Graphs with Order Close to the Moore Bound James TuiteGrahame Erskine Original Paper Open access 30 October 2019 Pages: 1253 - 1272
On the Integrability of Strongly Regular Graphs Jack H. KoolenMasood Ur RehmanQianqian Yang Original Paper 21 March 2019 Pages: 1273 - 1291
Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme Takuya IkutaAkihiro Munemasa Original Paper 16 May 2019 Pages: 1293 - 1304
Periodicities of Grover Walks on Distance-Regular Graphs Yusuke Yoshie Original Paper 10 July 2019 Pages: 1305 - 1321
Further Results on Existentially Closed Graphs Arising from Block Designs Xiao-Nan Lu Original Paper 15 April 2019 Pages: 1323 - 1335
On Enumeration of Families of Genus Zero Permutations Sen-Peng EuTung-Shan FuChien-Tai Ting Original paper 01 November 2019 Pages: 1337 - 1360
Exceptional Balanced Triangulations on Surfaces Steven KleeSatoshi MuraiYusuke Suzuki Original Paper 10 January 2019 Pages: 1361 - 1373
Contractible Edges and Removable Edges in 3-Connected Graphs Liqiong XuXiaofeng Guo Original Paper 28 September 2019 Pages: 1375 - 1385
Geometric Antipodal Distance-Regular Graphs with a Given Smallest Eigenvalue Sejeong Bang Original Paper 12 August 2019 Pages: 1387 - 1399
An Improved Bound in Vizing’s Conjecture Shira Zerbib Original Paper 04 September 2019 Pages: 1401 - 1404
Cyclic Permutation Groups that are Automorphism Groups of Graphs Mariusz GrechAndrzej Kisielewicz Original Paper Open access 13 September 2019 Pages: 1405 - 1432
Some Meta-Cayley Graphs on Dihedral Groups I. AllieE. Mwambene Original Paper 12 September 2019 Pages: 1433 - 1446
Contractible Non-edges in 3-Connected Infinite Graphs Tsz Lung Chan Original Paper 05 September 2019 Pages: 1447 - 1458
Characterizing the Difference Between Graph Classes Defined by Forbidden Pairs Including the Claw Guantao ChenMichitaka FuruyaPing Yang Original Paper 19 October 2019 Pages: 1459 - 1474
On Almost Empty Monochromatic Triangles and Convex Quadrilaterals in Colored Point Sets Jorge Cravioto-LagosAlejandro Corinto González-MartínezJorge Urrutia Original Paper 04 September 2019 Pages: 1475 - 1493
Extremal Union-Closed Set Families Guantao ChenHein van der HolstNana Li Original Paper 10 September 2019 Pages: 1495 - 1502
Ihara Zeta Function and Spectrum of the Cone Over a Semiregular Bipartite Graph Deqiong LiYaoping Hou Original Paper 13 August 2019 Pages: 1503 - 1517
On the Number of Containments in P-free Families Dániel GerbnerAbhishek MethukuMáté Vizer Original Paper Open access 11 September 2019 Pages: 1519 - 1540
On the Relation of Separability, Bandwidth and Embedding Béla CsabaBálint Vásárhelyi Original Paper Open access 09 September 2019 Pages: 1541 - 1553
Exact Distance Graphs of Product Graphs Boštjan BrešarNicolas GastineauOlivier Togni Original Paper 03 September 2019 Pages: 1555 - 1569
List Coloring a Cartesian Product with a Complete Bipartite Factor Hemanshu KaulJeffrey A. Mudrock Original Paper 03 September 2019 Pages: 1571 - 1583
On Rainbow-Cycle-Forbidding Edge Colorings of Finite Graphs Dean HoffmanPaul HornAndrew Owens Original Paper 01 October 2019 Pages: 1585 - 1596
There Does Not Exist a Distance-Regular Graph with Intersection Array \(\{80, 54,12; 1, 6, 60\}\) Jack H. KoolenQuaid IqbalMasood Ur Rehman Original Paper 14 September 2019 Pages: 1597 - 1608
Cayley Graphs Over Green \(^*\) Relations of Abundant Semigroups Chunhua LiBaogen XuHuawei Huang Original Paper 30 September 2019 Pages: 1609 - 1617
Naturally ordered strong endomorphisms on graphs Nirutt PipattanajindaYangkok KimSrichan Arworn Original Paper 23 October 2019 Pages: 1619 - 1632
On Graph Fall-Coloring: Existence and Constructions Hemanshu KaulChristodoulos Mitillos Original Paper 03 September 2019 Pages: 1633 - 1646
On the Maximum Diameter of Path-Pairable Graphs António GirãoKamil PopielarzRichard Snyder Original Paper 14 September 2019 Pages: 1647 - 1657
Complete Graph-Tree Planar Ramsey Numbers Yaojun ChenXiaolan Hu Original Paper 03 September 2019 Pages: 1659 - 1671
Cospectral Bipartite Graphs with the Same Degree Sequences but with Different Number of Large Cycles Ali DehghanAmir H. Banihashemi Original Paper 22 October 2019 Pages: 1673 - 1693
Maps Corresponding to the Subgroups \(\varGamma _0(N)\) of the Modular Group Nazlı Yazıcı GözütokUğur GözütokBahadır Özgür Güler Original Paper 29 August 2019 Pages: 1695 - 1705
Hamiltonian Cycles in Normal Cayley Graphs Juan José Montellano-BallesterosAnahy Santiago Arguello Original Paper 18 September 2019 Pages: 1707 - 1714
The Largest Graphs with Given Order and Diameter: A Simple Proof Pu QiaoXingzhi Zhan Original Paper 12 September 2019 Pages: 1715 - 1716