Block circulant graphs and the graphs of critical pairs of crowns
| Main Authors: | Garcia, Rebecca E.; Department of Mathematics and Statistics, Sam Houston State University, Harris, Pamela E.; Department of Mathematics and Statistics, Williams College, Kubik, Bethany; Department of Mathematics and Statistics, University of Minnesota Duluth, Talbott, Shannon; Mathematics and Computer Science Department, Moravian College |
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| Other Authors: | Joseph Pedersen, Charity Bankhead, Center for Leadership and Diversity in STEM at the United States Military Academy, National Science Foundation Division of Mathematical Sciences (DMS-1045082), AMS-Simons Travel Grant |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2019
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| Subjects: | |
| Online Access: |
https://www.ejgta.org/index.php/ejgta/article/view/711 https://www.ejgta.org/index.php/ejgta/article/view/711/pdf_99 |
Daftar Isi:
- In this paper, we provide a natural bijection between a special family of block circulant graphs and the graphs of critical pairs of the posets known as generalized crowns. In particular, every graph in this family of block circulant graphs we investigate has a generating block row that follows a symmetric growth pattern of the all ones matrix. The natural bijection provides an upper bound on the chromatic number for this infinite family of graphs.