Diameter of io-decomposable Riordan graphs of the Bell type
classification
🧮 math.CO
keywords
conjecturegraphsio-decomposableriordanbelldiameterfirstsome
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Recently, in the paper \cite{CJKM1} 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.
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