1. On Saito’s Conjecture and the Oberly–Sumner Conjectures

   • Susan A. van Aardt
   • Jean E. Dunbar
   • Johan P. de Wet

   Original Paper 08 June 2017 Pages: 583 - 594

   

2. Complexity of the Improper Twin Edge Coloring of Graphs

   • Paniz Abedin
   • Saieed Akbari
   • Tınaz Ekim

   Original Paper 27 May 2017 Pages: 595 - 615

   

3. Proper Hamiltonian Paths in Edge-Coloured Multigraphs

   • Raquel Águeda
   • Valentin Borozan
   • Leandro Montero

   Original Paper 26 May 2017 Pages: 617 - 633

4. Covering Arrays on Product Graphs

   • Yasmeen Akhtar
   • Soumen Maity

   Original Paper 24 May 2017 Pages: 635 - 652

   

5. Vertex Intersection Graphs of Paths on a Grid: Characterization Within Block Graphs

   • Liliana Alcón
   • Flavia Bonomo
   • María Pía Mazzoleni

   Original Paper 25 May 2017 Pages: 653 - 664

   

6. On the Structure of Dominating Graphs

   • Saeid Alikhani
   • Davood Fatehi
   • Sandi Klavžar

   Original Paper 25 May 2017 Pages: 665 - 672

   

7. The 3-Way Intersection Problem for Kirkman Triple Systems

   • Hanieh Amjadi
   • Nasrin Soltankhah

   Original Paper 27 May 2017 Pages: 673 - 687

   

8. The Strong Convexity Spectra of Grids

   • Gabriela Araujo-Pardo
   • César Hernández-Cruz
   • Juan José Montellano-Ballesteros

   Original Paper 01 June 2017 Pages: 689 - 713

   

9. Decomposition of a Complete Bipartite Multigraph into Arbitrary Cycle Sizes

   • John Asplund
   • Joe Chaffee
   • James M. Hammer

   Original Paper 02 June 2017 Pages: 715 - 728

10. Optimal Colorings with Rainbow Paths

    • O. Bendele
    • D. Rautenbach

    Original Paper 25 May 2017 Pages: 729 - 734

11. Analogues of Cliques for (m, n)-Colored Mixed Graphs

    • Julien Bensmail
    • Christopher Duffy
    • Sagnik Sen

    Original Paper 30 May 2017 Pages: 735 - 750

12. (4, 2)-Choosability of Planar Graphs with Forbidden Structures

    • Zhanar Berikkyzy
    • Christopher Cox
    • Derrick Stolee

    Original Paper 14 June 2017 Pages: 751 - 787

    

13. Extremal Values of the Chromatic Number for a Given Degree Sequence

    • Stéphane Bessy
    • Dieter Rautenbach

    Original Paper 01 June 2017 Pages: 789 - 799

14. The Game of Overprescribed Cops and Robbers Played on Graphs

    • Anthony Bonato
    • Xavier Pérez-Giménez
    • Benjamin Reiniger

    Original Paper 31 May 2017 Pages: 801 - 815

    

15. New Bounds for Facial Nonrepetitive Colouring

    • Prosenjit Bose
    • Vida Dujmović
    • Lucas Rioux-Maldague

    Original Paper 05 June 2017 Pages: 817 - 832

    

16. Minimum Degree Conditions for the Proper Connection Number of Graphs

    • Christoph Brause
    • Trung Duy Doan
    • Ingo Schiermeyer

    Original Paper 31 May 2017 Pages: 833 - 843

    

17. An Unoriented Variation on de Bruijn Sequences

    • Christie S. Burris
    • Francis C. Motta
    • Patrick D. Shipman

    Original Paper 29 May 2017 Pages: 845 - 858

    

18. Acyclic Chromatic Index of Triangle-free 1-Planar Graphs

    • Jijuan Chen
    • Tao Wang
    • Huiqin Zhang

    Original Paper 26 May 2017 Pages: 859 - 868

19. The Smallest Uniform Color-Bounded Hypergraphs Which are One-Realizations of a Given Set

    • Kefeng Diao
    • Fuliang Lu
    • Ping Zhao

    Original Paper 24 May 2017 Pages: 869 - 883

20. Neighbor Sum (Set) Distinguishing Total Choosability Via the Combinatorial Nullstellensatz

    • Laihao Ding
    • Guanghui Wang
    • Jiguo Yu

    Original Paper 24 May 2017 Pages: 885 - 900

21. Vertex-Disjoint Quadrilaterals in Multigraphs

    • Yunshu Gao
    • Qingsong Zou
    • Liyan Ma

    Original Paper 30 May 2017 Pages: 901 - 912

22. On 2-Step and Hop Dominating Sets in Graphs

    • Michael A. Henning
    • Nader Jafari Rad

    Original Paper 25 May 2017 Pages: 913 - 927

    

23. Finding \(\Delta (\Sigma )\) for a Surface \(\Sigma \) of Characteristic \(-6\) and \(-7\)

    • Katie Horacek
    • Rong Luo
    • Yue Zhao

    Original Paper 07 June 2017 Pages: 929 - 944

24. On the Equitable Edge-Coloring of 1-Planar Graphs and Planar Graphs

    • Dai-Qiang Hu
    • Jian-Liang Wu
    • Xin Zhang

    Original Paper 24 May 2017 Pages: 945 - 953

25. Partial Degree Conditions and Cycle Coverings in Bipartite Graphs

    • Suyun Jiang
    • Jin Yan

    Original Paper 06 June 2017 Pages: 955 - 967

26. Forbidden Properly Edge-Colored Subgraphs that Force Large Highly Connected Monochromatic Subgraphs

    • Robert Katić
    • Colton Magnant
    • Pouria Salehi Nowbandegani

    Original Paper 26 May 2017 Pages: 969 - 979

    

27. \({\varvec{k}}\)-Bisectors of Finite Planar Sets

    • Yaakov S. Kupitz
    • Horst Martini
    • Micha A. Perles

    Original Paper 02 June 2017 Pages: 981 - 990

    

28. Total Dominating Sets in Maximal Outerplanar Graphs

    • Magdalena Lemańska
    • Rita Zuazua
    • Paweł Żyliński

    Original Paper 26 May 2017 Pages: 991 - 998

    

29. 3-Rainbow Index and Forbidden Subgraphs

    • Wenjing Li
    • Xueliang Li
    • Jingshu Zhang

    Original Paper 22 May 2017 Pages: 999 - 1008

    

30. The Complexity of the Vertex 3-Colorability Problem for Some Hereditary Classes Defined By 5-Vertex Forbidden Induced Subgraphs

    • D. S. Malyshev

    Original Paper 25 May 2017 Pages: 1009 - 1022

    

31. Unit Hypercube Visibility Numbers of Trees

    • Eric Peterson
    • Paul S. Wenger

    Original Paper 01 June 2017 Pages: 1023 - 1035

    

32. On Minimum Identifying Codes in Some Cartesian Product Graphs

    • D. F. Rall
    • K. Wash

    Original Paper 26 May 2017 Pages: 1037 - 1053

    

33. Fractional \(K_{4}\)-Covers

    • Michael Szestopalow

    Original Paper 26 May 2017 Pages: 1055 - 1063

    

34. Bounds for Bipartite Rainbow Ramsey Numbers

    • Ye Wang
    • Yusheng Li

    Original Paper 23 May 2017 Pages: 1065 - 1079

35. Intersection Preserving Mappings

    • Yangsheng Zou
    • William L. Kocay

    Original Paper 25 May 2017 Pages: 1081 - 1087