Turán graphs with bounded matching number

10/26/2022
by   Noga Alon, et al.
0

We determine the maximum possible number of edges of a graph with n vertices, matching number at most s and clique number at most k for all admissible values of the parameters.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/06/2011

Extending Bron Kerbosch for Solving the Maximum Weight Clique Problem

This contribution extends the Bron Kerbosch algorithm for solving the ma...
research
01/30/2022

A DFS Algorithm for Maximum Matchings in General Graphs

In this paper, we propose a depth-first search (DFS) algorithm for searc...
research
03/15/2021

Maximum Number of Steps of Topswops on 18 and 19 Cards

Let f(n) be the maximum number of steps of Topswops on n cards. In this ...
research
06/14/2023

Ramsey numbers of connected 4-clique matching

We determine the exact value of the 2-color Ramsey number of a connected...
research
10/01/2019

Complexity of Stability

Graph parameters such as the clique number, the chromatic number, and th...
research
07/26/2023

Cliqueful graphs as a means of calculating the maximal number of maximum cliques of simple graphs

A simple graph on n vertices may contain a lot of maximum cliques. But h...
research
02/26/2018

On tradeoffs between width- and fill-like graph parameters

In this work we consider two two-criteria optimization problems: given a...

Please sign up or login with your details

Forgot password? Click here to reset