1. Every 4-Equivalenced Association Scheme is Frobenius

   • Bora Moon

   Original Paper 28 March 2020 Pages: 401 - 414

   

2. \({\mathrm{TS}}(v,\lambda )\) with Cyclic 2-Intersecting Gray Codes: \(v\equiv 0\) or \(4\pmod {12}\)

   • John Asplund
   • Melissa Keranen

   Original Paper 18 January 2020 Pages: 415 - 436

   

3. Partitioning Infinite Hypergraphs into Few Monochromatic Berge-Paths

   • Sebastián Bustamante
   • Jan Corsten
   • Nóra Frankl

   Original Paper Open access 18 January 2020 Pages: 437 - 444

4. Several Extreme Coefficients of the Tutte Polynomial of Graphs

   • Helin Gong
   • Xian’an Jin
   • Mengchen Li

   Original Paper 10 January 2020 Pages: 445 - 457

   

5. Forbidding Multiple Copies of Forestable Graphs

   • Neal Bushaw
   • Nathan Kettle

   Original Paper 09 January 2020 Pages: 459 - 467

6. N-Flips in Triangulations with Two Odd Degree Vertices

   • Yoshihiro Asayama
   • Ryo Matsukawa
   • Atsuhiro Nakamoto

   Original Paper 09 January 2020 Pages: 469 - 490

   

7. Degree Lists and Connectedness are 3-Reconstructible for Graphs with At Least Seven Vertices

   • Alexandr V. Kostochka
   • Mina Nahvi
   • Dara Zirlin

   Original Paper 01 February 2020 Pages: 491 - 501

   

8. On the \(\mathrm{PSU}(4,2)\)-Invariant Vertex-Transitive Strongly Regular (216, 40, 4, 8) Graph

   • Dean Crnković
   • Francesco Pavese
   • Andrea Švob

   Original Paper 09 January 2020 Pages: 503 - 513

9. Some Multi-Color Ramsey Numbers on Stars versus Path, Cycle or Wheel

   • Longqin Wang

   Original Paper 22 February 2020 Pages: 515 - 524

10. Spanning Properties of Theta–Theta-6

    • Mirela Damian
    • John Iacono
    • Andrew Winslow

    Original Paper 10 February 2020 Pages: 525 - 538

    

11. The Average Size of Matchings in Graphs

    • Eric O. D. Andriantiana
    • Valisoa Razanajatovo Misanantenaina
    • Stephan Wagner

    Original Paper 08 February 2020 Pages: 539 - 560

    

12. Rhombus Tilings of an Even-Sided Polygon and Quadrangulations on the Projective Plane

    • Hiroaki Hamanaka
    • Atsuhiro Nakamoto
    • Yusuke Suzuki

    Original Paper 13 February 2020 Pages: 561 - 571

    

13. Extendability and Criticality in Matching Theory

    • R. E. L. Aldred
    • Michael D. Plummer

    Original Paper 13 February 2020 Pages: 573 - 589

    

14. Containment: A Variation of Cops and Robber

    • Danny Crytser
    • Natasha Komarov
    • John Mackey

    Original Paper 19 February 2020 Pages: 591 - 605

    

15. An Explicit Formula Enumerating the Finely Bounded Trees Using Young Tableaux

    • Ayaka Ishikawa

    Original Paper 20 February 2020 Pages: 607 - 615

    

16. Tight Bounds for Illuminating and Covering of Orthotrees with Vertex Lights and Vertex Beacons

    • I. Aldana-Galván
    • J. L. Álvarez-Rebollar
    • C. Velarde

    Original Paper 20 February 2020 Pages: 617 - 630

    

17. Isolation of Cycles

    • Peter Borg

    Original Paper 12 March 2020 Pages: 631 - 637

18. Long Cycles Passing Through a Linear Forest

    • Feifei Song
    • Shunzhe Zhang

    Original Paper 19 February 2020 Pages: 639 - 664

19. A Note on Singular Edges and Hamiltonicity in Claw-Free Graphs with Locally Disconnected Vertices

    • Zdeněk Ryjáček
    • Petr Vrána
    • Liming Xiong

    Original Paper 26 February 2020 Pages: 665 - 677

    

20. A Simple Characterization of Proportionally 2-choosable Graphs

    • Hemanshu Kaul
    • Jeffrey A. Mudrock
    • Benjamin Reiniger

    Original Paper 15 February 2020 Pages: 679 - 687

21. Trees with Unique Minimum Semitotal Dominating Sets

    • Teresa W. Haynes
    • Michael A. Henning

    Original Paper 14 February 2020 Pages: 689 - 702

22. The Minimum Number of Edges in 4-Critical Digraphs of Given Order

    • Alexandr V. Kostochka
    • Michael Stiebitz

    Original Paper 15 February 2020 Pages: 703 - 718

23. The Chromatic Number of Graphs with No Induced Subdivision of \(K_4\)

    • Guantao Chen
    • Yuan Chen
    • Qinghai Liu

    Original Paper 27 February 2020 Pages: 719 - 728

24. Almost-Equidistant Sets

    • Martin Balko
    • Attila Pór
    • Pavel Valtr

    Original Paper Open access 29 February 2020 Pages: 729 - 754

    

25. Extremal Graphs for Odd-Ballooning of Paths and Cycles

    • Hui Zhu
    • Liying Kang
    • Erfang Shan

    Original Paper 09 March 2020 Pages: 755 - 766

    

26. Partially Broken Orientations of Eulerian Plane Graphs

    • Gen Kawatani
    • Yusuke Suzuki

    Original Paper 27 March 2020 Pages: 767 - 777

    

27. Packing Tree Degree Sequences

    • Aravind Gollakota
    • Will Hardt
    • István Miklós

    Original Paper Open access 20 March 2020 Pages: 779 - 801

    

28. Optimal Pebbling Number of the Square Grid

    • Ervin Győri
    • Gyula Y. Katona
    • László F. Papp

    Original Paper Open access 24 March 2020 Pages: 803 - 829

    

29. 2-Edge-Colored Chromatic Number of Grids is at Most 9

    • Janusz Dybizbański

    Original Paper Open access 11 March 2020 Pages: 831 - 837

    

30. Exact Values of Multicolor Ramsey Numbers \(R_l(C_{\le l+1})\)

    • Weiguo Zhu
    • Yongqi Sun
    • Hanshuo Zhang

    Original Paper 19 March 2020 Pages: 839 - 852

    

31. On Restricted Colorings of \(\text{(d,s)}\)-Edge Colorable Graphs

    • Lan Anh Pham

    Original Paper Open access 17 March 2020 Pages: 853 - 864

32. Hadwiger Numbers of Self-complementary Graphs

    • Andrei Pavelescu
    • Elena Pavelescu

    Original Paper 21 March 2020 Pages: 865 - 876

    

33. Maximum Modulus of Independence Roots of Graphs and Trees

    • Jason I. Brown
    • Ben Cameron

    Original Paper 17 March 2020 Pages: 877 - 894

    

34. On the Connectivity and Independence Number of Power Graphs of Groups

    • Peter J. Cameron
    • Sayyed Heidar Jafari

    Original Paper Open access 31 March 2020 Pages: 895 - 904

35. Rectilinear Crossings in Complete Balanced d-Partite d-Uniform Hypergraphs

    • Rahul Gangopadhyay
    • Saswata Shannigrahi

    Original Paper 03 April 2020 Pages: 905 - 911

36. Some Results on Multithreshold Graphs

    • Gregory J. Puleo

    Original Paper 01 April 2020 Pages: 913 - 919