Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

James Shook (Fed)

Mathematician

Research Interest

Combinatorics, Graph Theory and their applications to computer and cyber security.

Publications

On a conjecture that strengthens Kundu's k-factor Theorem

October 6, 2024

Author(s)

James Shook

Let π = (d1, . . . , dn) be a non-increasing degree sequence with even n. In 1974, Kundu showed that if Dk(π) = (d1 − k, . . . , dn − k) is graphic, then some

Maximally Edge-Connected Realizations and Kundu's k-factor Theorem

August 3, 2023

Author(s)

James Shook

A simple graph $G$ with edge-connectivity $\lambda(G)$ and minimum degree $\delta(G)$ is maximally edge connected if $\lambda(G)=\delta(G)$. In 1964, given a

A characterization of the Centers of Chordal Graphs

September 30, 2022

Author(s)

James Shook, Bing Wei

A graph is $k$-chordal if it does not have an induced cycle with length greater than $k$. We call a graph chordal if it is $3$-chordal. Let $G$ be a graph. The

View more Publications

Created October 9, 2019, Updated December 8, 2022

Was this page helpful?