Title
Interval Edge-Coloring: A Model Of Curriculum Scheduling
Abstract
Considering the appointments that teachers plan to teach some courses for specific classes, the problem is to schedule the curriculum such that the time for each teacher is consecutive. In this work, we propose an integer linear programming model to solve consecutive interval edge-coloring of a graph. By using the proposed method, we give the interval edge colorability of some small complete multipartite graphs. Moreover, we find some new classes of complete multipartite graphs that have interval edge-colorings and disprove a conjecture proposed by Grzesik and Khachatrian (2014).
Year
DOI
Venue
2020
10.1016/j.akcej.2019.09.003
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS
Keywords
DocType
Volume
Interval coloring, complete tripartite graphs, complete multipartite graphs
Journal
17
Issue
ISSN
Citations 
3
0972-8600
1
PageRank 
References 
Authors
0.37
0
5
Name
Order
Citations
PageRank
Zehui Shao111930.98
Zepeng Li2209.07
Bo Wang322453.43
Shao-hui Wang412619.62
Xiujun Zhang515918.75