1. Polynomial \(\chi \)-Binding Functions and Forbidden Induced Subgraphs: A Survey

   • Ingo Schiermeyer
   • Bert Randerath

   Original Paper 02 January 2019 Pages: 1 - 31

   

2. Graph Edge Coloring: A Survey

   • Yan Cao
   • Guantao Chen
   • Bjarne Toft

   Original Paper 04 January 2019 Pages: 33 - 66

3. Pancyclicity of 4-Connected \(\{K_{1,3},Z_8\}\)-Free Graphs

   • Hong-Jian Lai
   • Mingquan Zhan
   • Ju Zhou

   Original Paper 29 November 2018 Pages: 67 - 89

   

4. Graph 2-rankings

   • Jordan Almeter
   • Samet Demircan
   • Robert Winslow

   Original Paper 04 January 2019 Pages: 91 - 102

   

5. Price of Connectivity for the Vertex Cover Problem and the Dominating Set Problem: Conjectures and Investigation of Critical Graphs

   • Eglantine Camby

   Original Paper 04 January 2019 Pages: 103 - 118

   

6. Every Cubic Bipartite Graph has a Prime Labeling Except \(K_{3,3}\)

   • J. Z. Schroeder

   Original Paper 26 November 2018 Pages: 119 - 140

   

7. Rigid Cylindrical Frameworks with Two Coincident Points

   • Bill Jackson
   • Viktória E. Kaszanitzky
   • Anthony Nixon

   Original Paper Open access 30 November 2018 Pages: 141 - 168

   

8. Bijections of Motzkin Paths Using Shifted Riordan Decompositions

   • Aoife Hennessy

   Original Paper 30 November 2018 Pages: 169 - 187

   

9. The Ramsey Numbers of Trees Versus Generalized Wheels

   • Longqin Wang
   • Yaojun Chen

   Original Paper 29 November 2018 Pages: 189 - 193

10. H-Decomposition of r-Graphs when H is an r-Graph with Exactly k Independent Edges

    • Xinmin Hou
    • Boyuan Liu
    • Hongliang Lu

    Original Paper 28 November 2018 Pages: 195 - 200

11. Spanning Eulerian Subgraphs of Large Size

    • Nastaran Haghparast
    • Dariush Kiani

    Original Paper 04 December 2018 Pages: 201 - 206

    

12. Snarks with Special Spanning Trees

    • Arthur Hoffmann-Ostenhof
    • Thomas Jatschka

    Original Paper 01 December 2018 Pages: 207 - 219

    

13. Counting Vertices with Given Outdegree in Plane Trees and k-ary Trees

    • Rosena R. X. Du
    • Jia He
    • Xueli Yun

    Original Paper 20 November 2018 Pages: 221 - 229

    

14. Degree Conditions for Graphs to Have Spanning Trees with Few Branch Vertices and Leaves

    • Shun-ichi Maezawa
    • Ryota Matsubara
    • Haruhide Matsuda

    Original Paper 04 January 2019 Pages: 231 - 238

15. Cut-Colorings in Coloring Graphs

    • Prateek Bhakta
    • Benjamin Brett Buckner
    • Heather M. Russell

    Original Paper 28 November 2018 Pages: 239 - 248

    

16. Edge-Primitive Graphs of Prime Power Order

    • Jiangmin Pan
    • Zhaohong Huang
    • Cixuan Wu

    Original Paper 04 January 2019 Pages: 249 - 259

17. Properly Edge-colored Theta Graphs in Edge-colored Complete Graphs

    • Ruonan Li
    • Hajo Broersma
    • Shenggui Zhang

    Original Paper Open access 28 November 2018 Pages: 261 - 286

    

18. On Cross Parsons Numbers

    • Cheng Yeaw Ku
    • Kok Bin Wong

    Original Paper 01 December 2018 Pages: 287 - 301

19. The Minimum Asymptotic Density of Binary Caterpillars

    • Audace A. V. Dossou-Olory

    Original Paper 30 November 2018 Pages: 303 - 320

    

20. Characterizations of the Simple Non-Confusing Travel Groupoids on a Finite Graph

    • Diogo Kendy Matsumoto
    • Atsuhiko Mizusawa

    Original Paper 03 January 2019 Pages: 321 - 334

    

21. Spectral Extremal Results with Forbidding Linear Forests

    • Ming-Zhu Chen
    • A-Ming Liu
    • Xiao-Dong Zhang

    Original Paper 04 December 2018 Pages: 335 - 351

    

22. Lower Bounds on the Uniquely Restricted Matching Number

    • M. Fürst
    • D. Rautenbach

    Original Paper 02 January 2019 Pages: 353 - 361

    

23. Ehrhart Polynomials with Negative Coefficients

    • Takayuki Hibi
    • Akihiro Higashitani
    • Koutarou Yoshida

    Original Paper 30 November 2018 Pages: 363 - 371