Nobuaki Obata

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20232025

most citedQuadratic embedding constants of fan graphs and graph joins

4 citations · 4 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.CO2025

Quadratic Embedding Constants of Corona Graphs

Ferdi, Edy Tri Baskoro, Nobuaki Obata +1

The quadratic embedding constant (QEC) of a connected graph is defined to be the maximum of the quadratic function associated with its distance matrix on a certain unit sphere of c…

math.CO2025

Quadratic Embedding Constants of Strongly Regular Graphs

Nobuaki Obata

We obtain an explicit formula for the quadratic embedding constant (QEC) of a strongly regular graph $srg (n, k, λ, μ)$ with $μ \geq 1$ . By using QEC we give a necessary and suff…

math.CO2024

Partial Chebyshev Polynomials and Fan Graphs

Wojciech Młotkowski, Nobuaki Obata

Motivated by the product formula of the Chebyshev polynomials of the second kind $U_{n} (x)$ , we newly introduce the partial Chebyshev polynomials $U_{n}^{e} (x)$ and $U^{\mathr…

math.CO2024★ 4 cited

Quadratic embedding constants of fan graphs and graph joins

Wojciech Młotkowski, Nobuaki Obata

We derive a general formula for the quadratic embedding constant of a graph join $K ˉ_{m} + G$ , where $K ˉ_{m}$ is the empty graph on $m \geq 1$ vertices and $G$ is an arbitrary gra…

math.CO2023

A Classification of Graphs through Quadratic Embedding Constants and Clique Graph Insights

Edy Tri Baskoro, Nobuaki Obata

The quadratic embedding constant (QEC) of a graph $G$ is a new numeric invariant, which is defined in terms of the distance matrix and is denoted by $QEC (G)$ . By observing…