Edge lower bounds for list critical graphs, via discharging

Daniel W. Cranston, Landon Rabern
2017 Combinatorica  
The problem of bounding (from below) the number of edges in a k-critical graph has been widely studied, starting with work of Gallai and culminating with the seminal results of Kostochka and Yancey, who essentially solved the problem. In this paper, we improve the best lower bound on the number of edges in a k-list-critical graph. Our proof uses the discharging method, which makes it simpler and more modular than previous work in this area.
doi:10.1007/s00493-016-3584-6 fatcat:v5ihcsy7abferjuqmeoifd4jxu