GRAPHS WITHOUT A RAINBOW PATH OF LENGTH 3

被引：0

作者：

Babinski, Sebastian ^{[1
]}

Grzesik, Andrzej ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, P-30 348 Krakow, Poland

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2024年 / 38卷 / 01期

关键词：

extremal graph theory; rainbow coloring; Turan-type problems; TURAN PROBLEM; NUMBERS;

D O I：

10.1137/22M1535048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1959, ErdoH \s and Gallai proved the asymptotically optimal bound for the maximum number of edges in graphs not containing a path of a fixed length. Here, we study a rainbow version of their theorem, in which one considers k \geq 1 graphs on a common set of vertices not creating a path having edges from different graphs and asks for the maximum number of edges in each graph. We prove the asymptotically optimal bound in the case of a path on three edges and any k \geq 1.

引用

页码：629 / 644

页数：16

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