A q-analog of the adjacency matrix of the n-cube
| Autor: | Ghosh, Subhajit, Srinivasan, Murali K. |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We define a q-analog of the adjacency matrix of the n-cube, determine its eigenvalues and write down a canonical eigenbasis. We give a weighted count of the number of rooted spanning trees in the q-analog of the n-cube. Remarks on the previous version: The q-analog of the Kac matrix appears in Terwilliger's classification of Leonard pairs and as such its eigenvalues and eigenvectors were known. Reference added to Terwilliger's papers and also to a paper of Johnson. Title changed to reflect this. |
| Databáze: | arXiv |
| Externí odkaz: |
|