MathDB
Connected graph w/ p=100

Source: 239 2008 J3

July 28, 2020
graph theorycombinatorics

Problem Statement

A connected graph has 100100 vertices, the degrees of all the vertices do not exceed 44 and no two vertices of degree 44 are adjacent. Prove that it is possible to remove several edges that have no common vertices from this graph such that there would be no triangles in the resulting graph.