Some Conclusion on Unique k-List Colorable Complete Multipartite Graphs
Joint Authors
Wang, Yanyan
Zhang, Xuguang
Wang, Yanning
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-08
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
If a graph G admits a k-list assignment L such that G has a unique L-coloring, then G is called uniquely k-list colorable graph, or UkLC graph for short.
In the process of characterizing UkLC graphs, the complete multipartite graphs K1*r,s(r,s∈N) are often researched.
But it is usually not easy to construct the unique k-list assignment of K1*r,s.
In this paper, we give some propositions about the property of the graph K1*r,s when it is UkLC, which provide a very significant guide for constructing such list assignment.
Then a special example of UkLC graphs K1*r,s as a application of these propositions is introduced.
The conclusion will pave the way to characterize UkLC complete multipartite graphs.
American Psychological Association (APA)
Wang, Yanning& Wang, Yanyan& Zhang, Xuguang. 2013. Some Conclusion on Unique k-List Colorable Complete Multipartite Graphs. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-467525
Modern Language Association (MLA)
Wang, Yanning…[et al.]. Some Conclusion on Unique k-List Colorable Complete Multipartite Graphs. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-467525
American Medical Association (AMA)
Wang, Yanning& Wang, Yanyan& Zhang, Xuguang. Some Conclusion on Unique k-List Colorable Complete Multipartite Graphs. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-467525
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467525