Apr 3, 2013 · This new method, inspired by physics conjectures on the geometry of the set of k-colorings, allows us to establish a substantially improved lower bound on the ...

In this paper we establish a substantially improved lower bound on the k-color ability threshold of the random graph G(n, m) with n vertices and m edges.

Abstract—In this paper we establish a substantially improved lower bound on the k-colorability threshold of the random graph G(n, m) with n vertices and m ...

A substantially improved lower bound on the k-color ability threshold of the random graph G(n, m) with n vertices and m edges is established and it is ...

In this paper we establish a substantially improved lower bound on the k-color ability threshold of the random graph G(n, m) with n vertices and m edges.

In this paper we establish a substantially improved lower bound on the k-color ability threshold of the random graph G(n, m) with n vertices and m edges.

The key idea in this line of work is to estimate the first moment of the number of “rigid” colorings: for any two colors 1≤ i<j≤ k, every vertex of color i must ...

Chasing the K-Colorability Threshold · A. Coja-OghlanDan Vilenchik. Computer Science, Mathematics. IEEE Annual Symposium on Foundations of Computer… 2013. TLDR.

Co-authors ; Chasing the k-colorability threshold. A Coja-Oghlan, D Vilenchik. 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 380-389, 2013.

We investigate the problem of whether such a selection strategy can shift the k-colorability transition; that is, the number of edges at which the graph goes ...