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- Title
Diameter of Io-Decomposable Riordan Graphs of the Bell Type.
- Authors
Jung, Ji-Hwan
- Abstract
Recently, in the paper (Cheon et al. in Linear Algebra Appl 579:89–135, 2019) we suggested the two conjectures about the diameter of io-decomposable Riordan graphs of the Bell type. In this paper, we give a counterexample for the first conjecture. Then we prove that the first conjecture is true for the graphs of some particular size and propose a new conjecture. Finally, we show that the second conjecture is true for some special io-decomposable Riordan graphs.
- Subjects
LINEAR algebra; LOGICAL prediction; DIAMETER
- Publication
Graphs & Combinatorics, 2022, Vol 38, Issue 1, p1
- ISSN
0911-0119
- Publication type
Article
- DOI
10.1007/s00373-021-02427-1