1. Hamiltonian Property of the Incidence Graphs of Quadrangles Associated with Symplectic Forms on Finite Fields

   • Hajime Sato
   • Hiroshi Suzuki

   Original Paper 12 September 2018 Pages: 1111 - 1129

   

2. On the Hamiltonicity of the k-Regular Graph Game

   • Jeremy Meza
   • Samuel Simon

   Original Paper 03 October 2018 Pages: 1131 - 1145

   

3. Monochromatic Subgraphs in the Absence of a Properly Colored 4-Cycle

   • Colton Magnant
   • Daniel M. Martin
   • Pouria Salehi Nowbandegani

   Original Paper 08 October 2018 Pages: 1147 - 1158

   

4. Bounds on the Connected Forcing Number of a Graph

   • Randy Davila
   • Michael A. Henning
   • Ryan Pepper

   Original Paper 08 October 2018 Pages: 1159 - 1174

   

5. Bounds for Judicious Balanced Bipartitions of Graphs

   • Fayun Cao
   • Yujiao Luo
   • Han Ren

   Original Paper 27 September 2018 Pages: 1175 - 1184

6. Gallai–Ramsey Numbers of Odd Cycles and Complete Bipartite Graphs

   • Ming Chen
   • Yusheng Li
   • Chaoping Pei

   Original Paper 10 September 2018 Pages: 1185 - 1196

   

7. Enumerating Simple Paths from Connected Induced Subgraphs

   • Pierre-Louis Giscard
   • Paul Rochet

   Original Paper 25 October 2018 Pages: 1197 - 1202

8. Neighborhood and Domination Polynomials of Graphs

   • Irene Heinrich
   • Peter Tittmann

   Original Paper 22 October 2018 Pages: 1203 - 1216

9. A Better Bound on the Largest Induced Forests in Triangle-Free Planar Graph

   • Hung Le

   Original Paper 27 August 2018 Pages: 1217 - 1246

   

10. Falk Invariants of Signed Graphic Arrangements

    • Weili Guo
    • Qiumin Guo
    • Guangfeng Jiang

    Original Paper 15 October 2018 Pages: 1247 - 1258

    

11. On Well-Covered Cartesian Products

    • Bert L. Hartnell
    • Douglas F. Rall
    • Kirsti Wash

    Original Paper 27 August 2018 Pages: 1259 - 1268

    

12. A Note on Edge Weightings Inducing Proper Vertex Colorings

    • Anna M. Limbach
    • Robert Scheidweiler

    Original Paper 16 August 2018 Pages: 1269 - 1277

    

13. Brushing Number and Zero-Forcing Number of Graphs and Their Line Graphs

    • Aras Erzurumluoğlu
    • Karen Meagher
    • David Pike

    Original Paper 24 October 2018 Pages: 1279 - 1294

    

14. Graphs with Almost All Edges in Long Cycles

    • Naidan Ji
    • Meirun Chen

    Original Paper 25 September 2018 Pages: 1295 - 1314

    

15. Gallai-Ramsey Numbers for Monochromatic Triangles or 4-Cycles

    • Haibo Wu
    • Colton Magnant

    Original Paper 17 November 2018 Pages: 1315 - 1324

16. A Note on Decycling Number, Vertex Partition and AVD-Total Coloring in Graphs

    • Chao Yang
    • Han Ren
    • Erling Wei

    Original Paper 08 October 2018 Pages: 1325 - 1332

17. Perfect k-Colored Matchings and \((k+2)\)-Gonal Tilings

    • Oswin Aichholzer
    • Lukas Andritsch
    • Birgit Vogtenhuber

    Original Paper Open access 10 November 2018 Pages: 1333 - 1346

    

18. Extremal Colorings and Independent Sets

    • John Engbers
    • Aysel Erey

    Original Paper 25 September 2018 Pages: 1347 - 1361

    

19. A Generalized Version of a Local Antimagic Labelling Conjecture

    • Kasper Szabo Lyngsie
    • Liang Zhong

    Original Paper 20 August 2018 Pages: 1363 - 1369

20. Total Forcing and Zero Forcing in Claw-Free Cubic Graphs

    • Randy Davila
    • Michael A. Henning

    Original Paper 20 August 2018 Pages: 1371 - 1384

    

21. Coupon-Coloring and Total Domination in Hamiltonian Planar Triangulations

    • Zoltán Lóránt Nagy

    Original Paper 27 August 2018 Pages: 1385 - 1394

    

22. A Counterexample Regarding Labelled Well-Quasi-Ordering

    • Robert Brignall
    • Michael Engen
    • Vincent Vatter

    Original Paper 10 October 2018 Pages: 1395 - 1409

    

23. Adjacency Relationships Forced by a Degree Sequence

    • Michael D. Barrus

    Original Paper 24 September 2018 Pages: 1411 - 1427

    

24. \(M_{24}\)-Orbits of Octad Triples

    • Veronica Kelsey
    • Peter Rowley

    Original Paper Open access 24 October 2018 Pages: 1429 - 1443

    

25. Optimal Graphs for Independence and k-Independence Polynomials

    • J. I. Brown
    • D. Cox

    Original Paper 05 September 2018 Pages: 1445 - 1457

    

26. One-Overlapped Factorizations of Non-abelian Groups

    • Nicola Pace

    Original Paper 17 August 2018 Pages: 1459 - 1467

27. The Effect of Local Majority on Global Majorityin Connected Graphs

    • Yair Caro
    • Raphael Yuster

    Original Paper 28 August 2018 Pages: 1469 - 1487

28. Entire Coloring of Graphs Embedded in a Surface of Nonnegative Characteristic

    • Xiaoxue Hu
    • Weifan Wang
    • Ping Wang

    Original Paper 27 October 2018 Pages: 1489 - 1506

    

29. Which Graphs have Non-integral Spectra?

    • Katja Mönius
    • Jörn Steuding
    • Pascal Stumpf

    Original Paper 11 September 2018 Pages: 1507 - 1518

    

30. Extremal Threshold Graphs for Matchings and Independent Sets

    • L. Keough
    • A. J. Radcliffe

    Original Paper 06 September 2018 Pages: 1519 - 1537

    

31. On the Chromatic Edge Stability Number of Graphs

    • Arnfried Kemnitz
    • Massimiliano Marangio
    • Nazanin Movarraei

    Original Paper 12 November 2018 Pages: 1539 - 1551

    

32. Graphs with Conflict-Free Connection Number Two

    • Hong Chang
    • Trung Duy Doan
    • Ingo Schiermeyer

    Original Paper 17 October 2018 Pages: 1553 - 1563

33. Chorded Pancyclicity in k-Partite Graphs

    • Daniela Ferrero
    • Linda Lesniak

    Original Paper 23 August 2018 Pages: 1565 - 1580

34. Decomposition of a Graph into Two Disjoint Odd Subgraphs

    • Mikio Kano
    • Gyula Y. Katona
    • Kitti Varga

    Original Paper 28 October 2018 Pages: 1581 - 1588

    

35. On Critical Circuits in k-Connected Matroids

    • João Paulo Costalonga
    • Kecai Deng
    • Xiangqian Zhou

    Original Paper 14 November 2018 Pages: 1589 - 1595

    

36. The Combinatorial k-Deck

    • Jan Simon

    Original Paper 29 August 2018 Pages: 1597 - 1618

    

37. Enomoto and Ota’s Conjecture Holds for Large Graphs

    • Vincent Coll
    • Alexander Halperin
    • Pouria Salehi Nowbandegani

    Original Paper 09 October 2018 Pages: 1619 - 1635

38. Total Equitable List Coloring

    • Hemanshu Kaul
    • Jeffrey A. Mudrock
    • Michael J. Pelsmajer

    Original Paper 24 October 2018 Pages: 1637 - 1649

39. Quotient-Complete Arc-Transitive Latin Square Graphs from Groups

    • Carmen Amarra

    Original Paper 21 September 2018 Pages: 1651 - 1669

    

40. Forbidden Subgraphs and Weak Locally Connected Graphs

    • Xia Liu
    • Houyuan Lin
    • Liming Xiong

    Original Paper 06 October 2018 Pages: 1671 - 1690

    

41. Extending Vertex and Edge Pancyclic Graphs

    • Megan Cream
    • Ronald J. Gould
    • Kazuhide Hirohata

    Original Paper 11 October 2018 Pages: 1691 - 1711

42. Constructing Graphs Which are Permanental Cospectral and Adjacency Cospectral

    • Tingzeng Wu
    • Hong-Jian Lai

    Original Paper 12 October 2018 Pages: 1713 - 1721

    

43. The Edge Spectrum of \(K_4^-\)-Saturated Graphs

    • Jun Gao
    • Xinmin Hou
    • Yue Ma

    Original Paper 19 November 2018 Pages: 1723 - 1727

44. On the Maximum Number of Maximum Independent Sets

    • E. Mohr
    • D. Rautenbach

    Original Paper 24 October 2018 Pages: 1729 - 1740

    

45. The 3-Way Intersection Problem for Kite Systems

    • Ping Chen
    • Xiaomiao Wang

    Original Paper 15 November 2018 Pages: 1741 - 1749