1. Even Factors in Edge-Chromatic-Critical Graphs with a Small Number of Divalent Vertices

   • Eckhard Steffen
   • Isaak H. Wolf

   Original Paper Open access 30 May 2022 Article: 104

   

2. On the 3-Color Ramsey Numbers \(R(C_4,C_4,W_{n})\)

   • Xuemei Zhang
   • Yaojun Chen
   • T. C. Edwin Cheng

   Original Paper 27 May 2022 Article: 103

3. The Scattering Number of Strictly Chordal Graphs: Linear Time Determination

   • Lilian Markenzon
   • Christina F. E. M. Waga

   Original Paper 26 May 2022 Article: 102

   

4. A Note on k-Wise Oddtown Problems

   • Jason O’Neill
   • Jacques Verstraëte

   Original Paper 25 May 2022 Article: 101

5. Super Graphs on Groups, I

   • G. Arunkumar
   • Peter J. Cameron
   • Lavanya Selvaganesh

   Original Paper Open access 23 May 2022 Article: 100

6. Quadrilateral and Hexagonal Maps Corresponding to the Subgroups \(\Gamma _0(N)\) of the Modular Group

   • Nazlı Yazıcı Gözütok
   • Bahadır Özgür Güler

   Original Paper 21 May 2022 Article: 99

   

7. A Note on the Turán Number of an Arbitrary Star Forest

   • Bing Wang
   • Jian-Hua Yin

   Original Paper 20 May 2022 Article: 98

8. Solution to a Forcible Version of a Graphic Sequence Problem

   • Mao-cheng Cai
   • Liying Kang

   Original Paper 19 May 2022 Article: 97

9. An Infinite Family of Linklessly Embeddable Tutte-4-Connected Graphs

   • Andrei Pavelescu
   • Elena Pavelescu

   Original Paper 19 May 2022 Article: 96

   

10. Neighbour-Distinguishing Labellings of Families of Graphs

    • Atílio G. Luiz
    • C. N. Campos

    Original Paper 16 May 2022 Article: 95

    

11. H-Kernels by Walks

    • Hortensia Galeana-Sánchez
    • Hugo Rincon-Galeana
    • Ricardo Strausz

    Original Paper 16 May 2022 Article: 94

12. Neighborhood Complexes, Homotopy Test Graphs and an Application to Coloring of Product Graphs

    • Samir Shukla

    Original Paper 13 May 2022 Article: 93

13. Fashion Game on Planar Graphs

    • Chenli Shen
    • Wensong Lin

    Original Paper 12 May 2022 Article: 92

    

14. Equivariant Euler Characteristics of Symplectic Buildings

    • Jesper M. Møller

    Original Paper 11 May 2022 Article: 91

    

15. On the Unimodality of Domination Polynomials

    • Iain Beaton
    • Jason I. Brown

    Original Paper 09 May 2022 Article: 90

    

16. Weakly Distance-Regular Digraphs of One Type of Arcs

    • Yushuang Fan
    • Zhiqi Wang
    • Yuefeng Yang

    Original Paper 04 May 2022 Article: 89

17. On a List Variant of the Multiplicative 1-2-3 Conjecture

    • Julien Bensmail
    • Hervé Hocquard
    • Éric Sopena

    Original Paper 04 May 2022 Article: 88

18. Embedding Grid Graphs on Surfaces

    • Christian Millichap
    • Fabian Salinas

    Original Paper 16 April 2022 Article: 87

    

19. Greedy Routing in Circulant Networks

    • Hebert Pérez-Rosés
    • Maria Bras-Amorós
    • José Miguel Serradilla-Merinero

    Original Paper 16 April 2022 Article: 86

    

20. The Dichromatic Polynomial of a Digraph

    • D. González-Moreno
    • R. Hernández-Ortiz
    • M. Olsen

    Original Paper 16 April 2022 Article: 85

    

21. The Turán Numbers of Special Forests

    • Lin-Peng Zhang
    • Ligong Wang

    Original Paper 15 April 2022 Article: 84

22. The Rigidity of Infinite Graphs II

    • D. Kitson
    • S. C. Power

    Original Paper 13 April 2022 Article: 83

    

23. The Ihara-Zeta Function and the Spectrum of the Join of Two Semi-Regular Bipartite Graphs

    • Xiaotong Li
    • Xian’an Jin
    • Qi Yan

    Original Paper 07 April 2022 Article: 82

24. Stability on Matchings in 3-Uniform Hypergraphs

    • Mingyang Guo
    • Hongliang Lu

    Original Paper 06 April 2022 Article: 81

25. A Note on Exact Minimum Degree Threshold for Fractional Perfect Matchings

    • Hongliang Lu
    • Xingxing Yu

    Original Paper 06 April 2022 Article: 80

26. Avoiding and Extending Partial Edge Colorings of Hypercubes

    • Carl Johan Casselgren
    • Per Johansson
    • Klas Markström

    Original Paper Open access 04 April 2022 Article: 79

    

27. Improved Monochromatic Double Stars in Edge Colorings

    • Gábor N. Sárközy

    Original Paper Open access 28 March 2022 Article: 78

28. Predominating a Vertex in the Connected Domination Game

    • Csilla Bujtás
    • Vesna Iršič
    • Sandi Klavžar

    Original Paper 25 March 2022 Article: 77

    

29. On 2-Factors Splitting an Embedded Graph into Two Plane Graphs

    • Gunnar Brinkmann
    • Sara Chiers
    • Carol T. Zamfirescu

    Original Paper 23 March 2022 Article: 76

    

30. Improved Bounds on the k-tuple (Roman) Domination Number of a Graph

    • Noor A’lawiah Abd Aziz
    • Michael A. Henning
    • Hailiza Kamarulhaili

    Original Paper 23 March 2022 Article: 75

31. Disjoint Cycles of Different Lengths in 3-Regular Digraphs

    • Zhihong He
    • Panpan Cheng
    • Yunshu Gao

    Original Paper 18 March 2022 Article: 74

32. Some Results on Dominating Induced Matchings

    • S. Akbari
    • H. Baktash
    • M. Roghani

    Original Paper 14 March 2022 Article: 73

    

33. The Extremal Sizes of Arc-Maximal (k, l)-Digraphs

    • Liqiong Xu
    • Hong-Jian Lai
    • Murong Xu

    Original Paper 14 March 2022 Article: 72

34. A proof of a conjecture on the paired-domination subdivision number

    • Zehui Shao
    • Seyed Mahmoud Sheikholeslami
    • Hossein Karami

    Original Paper 14 March 2022 Article: 71

35. On Sufficient Conditions for Planar Graphs to be 5-Flexible

    • Fan Yang

    Original Paper 14 March 2022 Article: 70

    

36. Note on Rainbow Triangles in Edge-Colored Graphs

    • Xiaozheng Chen
    • Xueliang Li
    • Bo Ning

    Original Paper 14 March 2022 Article: 69

    

37. Generalized Power Domination in Claw-Free Regular Graphs

    • Hangdi Chen
    • Changhong Lu
    • Qingjie Ye

    Original Paper 14 March 2022 Article: 68

    

38. Extremal Graphs for Two Vertex-Disjoint Copies of a Clique

    • Wanfang Chen
    • Changhong Lu
    • Long-Tu Yuan

    Original Paper 14 March 2022 Article: 67

39. A Class of Cubic Graphs Satisfying Berge Conjecture

    • Wuyang Sun
    • Fan Wang

    Original Paper 14 March 2022 Article: 66

    

40. Supersaturation for Subgraph Counts

    • Jonathan Cutler
    • JD Nir
    • A. J. Radcliffe

    Original Paper 14 March 2022 Article: 65

    

41. Fractional Cocoloring of Graphs

    • John Gimbel
    • André Kündgen
    • Michael Molloy

    Original Paper 14 March 2022 Article: 64

42. On Strong Edge-Coloring of Claw-Free Subcubic Graphs

    • Jian-Bo Lv
    • Jianxi Li
    • Xiaoxia Zhang

    Original Paper 14 March 2022 Article: 63

    

43. H-Cycles in H-Colored Multigraphs

    • Hortensia Galeana-Sánchez
    • Rocío Rojas-Monroy
    • Juana Imelda Villarreal-Valdés

    Original Paper 14 March 2022 Article: 62

    

44. Meyniel Extremal Families of Abelian Cayley Graphs

    • Fatemeh Hasiri
    • Igor Shinkar

    Original Paper 14 March 2022 Article: 61

    

45. On Bipartite Graphs Having Minimum Fourth Adjacency Coefficient

    • Shi-Cai Gong
    • Li-Ping Zhang
    • Shao-Wei Sun

    Original Paper 14 March 2022 Article: 60

    

46. Free Subarrangements of Shi Arrangements

    • Zixuan Wang
    • Guangfeng Jiang

    Original Paper 14 March 2022 Article: 59

    

47. Complex and Homomorphic Chromatic Number of Signed Planar Simple Graphs

    • Reza Naserasr
    • Lan Anh Pham

    Original Paper 14 March 2022 Article: 58

    

48. The Polychromatic Number of Small Subsets of the Integers Modulo n

    • Emelie Curl
    • John Goldwasser
    • Michael Young

    Original Paper 14 March 2022 Article: 57

    

49. Three-Weight Codes over Rings and Strongly Walk Regular Graphs

    • Minjia Shi
    • Michael Kiermaier
    • Patrick Solé

    Original Paper 14 March 2022 Article: 56

50. Non-Bipartite Distance-Regular Graphs with Diameters 5, 6 and a Smallest Eigenvalue

    • Jing Li
    • Yan Wang
    • Suogang Gao

    Original Paper 14 March 2022 Article: 55