1. Polynomial Bounds for Chromatic Number. IV: A Near-polynomial Bound for Excluding the Five-vertex Path

   • Alex Scott
   • Paul Seymour
   • Sophie Spirkl

   Original Paper Open access 15 September 2023 Pages: 845 - 852

2. Prague Dimension of Random Graphs

   • He Guo
   • Kalen Patton
   • Lutz Warnke

   Original Paper 06 September 2023 Pages: 853 - 884

   

3. Balanced Subdivisions of Cliques in Graphs

   • Bingyu Luan
   • Yantao Tang
   • Donglei Yang

   Original Paper 23 May 2023 Pages: 885 - 907

   

4. A Recursive Theta Body for Hypergraphs

   • Davi Castro-Silva
   • Fernando Mário de Oliveira Filho
   • Frank Vallentin

   Original Paper Open access 13 June 2023 Pages: 909 - 938

   

5. The Number of Tangencies Between Two Families of Curves

   • Balázs Keszegh
   • Dömötör Pálvölgyi

   Original Paper Open access 05 June 2023 Pages: 939 - 952

   

6. A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

   • Joshua Hinman

   Original Paper 26 May 2023 Pages: 953 - 962

   

7. \(\Gamma \)-Graphic Delta-Matroids and Their Applications

   • Donggyu Kim
   • Duksang Lee
   • Sang-il Oum

   Original Paper 13 June 2023 Pages: 963 - 983

   

8. Leray Numbers of Tolerance Complexes

   • Minki Kim
   • Alan Lew

   Original Paper Open access 05 June 2023 Pages: 985 - 1006

   

9. Enclosing Depth and Other Depth Measures

   • Patrick Schnider

   Original Paper Open access 13 June 2023 Pages: 1007 - 1029

   

10. Integer Multiflows in Acyclic Planar Digraphs

    • Guyslain Naves

    Original Paper 19 September 2023 Pages: 1031 - 1043