On the competition graphs of $d$-partial orders
| Autor: | Choi, Jihoon, Kim, Kyeong Seok, Kim, Suh-Ryung, Lee, Jung Yeun, Sano, Yoshio |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we study the competition graphs of $d$-partial orders and obtain their characterization which extends results given by Cho and Kim \cite{chokim} in 2005. We also show that any graph can be made into the competition graph of a $d$-partial order for some positive integer $d$ as long as adding isolated vertices is allowed. We then introduce the notion of the partial order competition dimension of a graph and study graphs whose partial order competition dimensions are at most three. Comment: 14 pages, 5 figures |
| Databáze: | arXiv |
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