Article citationsMore>>

Romero, D. and Alonso-Pecina, F. (2014) The Erdos-Faber-Lovász Conjecture Is True for n ≤ 12. Discrete Mathematics, Algorithms and Applications, 6, Article ID: 1450039.
https://doi.org/10.1142/S1793830914500396

has been cited by the following article:

• TITLE: The Erdös-Faber-Lovász Conjecture for Gap-Restricted Hypergraphs

  AUTHORS: Zhimin Wang

  KEYWORDS: Linear Hypergraph, Chromatic Index, Erdös-Faber-Lovász Conjecture, Edge Cardinality

  JOURNAL NAME: Engineering, Vol.16 No.2, February 29, 2024

  ABSTRACT: An edge coloring of hypergraph H is a function such thatholds for any pair of intersecting edges . The minimum number of colors in edge colorings of H is called the chromatic index of H and is denoted by . Erdös, Faber and Lovász proposed a famous conjecture thatholds for any loopless linear hypergraph H with n vertices. In this paper, we show thatis true for gap-restricted hypergraphs. Our result extends a result of Alesandroni in 2021.