3 papers
math.CO2026
Arithmetical Structures on Ladder Graphs
Namita Behera, Dilli Ram Chhetri, Raj Bhawan Yadav
In this paper, we investigate arithmetical structures on Cartesian product graphs, particularly, ladder graph of the form P2\square Pm and grid graph of the form Pn \square Pm. An…
math.CO2025
Arithmetical Structures On Fan Graphs
Dilli Ram Chhetri, Namita Behera, Raj Bhawan Yadav
In this paper, we study the arithmetical structures on Fan Graphs Fn. Let G be a finite and connected graph. An arithmetical structure on G is a pair (d, r) of positive integer vec…
math.CO2024
Arithmetical Structures on Wheel Graphs
Bibhas Adhikari, Namita Behera, Dilli Ram Chhetri +1
An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r =…