论文标题
有限组的通勤共轭类图形的光谱和能量
Spectrum and energies of commuting conjugacy class graph of a finite group
论文作者
论文摘要
在本文中，我们计算频谱，拉普拉斯频谱，无标志性的laplacian频谱及其相应的通勤能量$ g（p，m，n）= \ langle x，y：x^{p^m} = y^y^p^y^n} = y^n} = [x，y] 1 \ rangle $，其中$ p $是任何prime，$ m \ geq 1 $和$ n \ geq 1 $。我们带来了一些后果，以及$ g（p，m，n）$的通勤共轭类图形是超级积分的。我们还比较了各种能量，并确定$ g（p，m，n）$的通勤共轭类图形是超能力，l hyperenergetic还是q-hyperenergetic。
In this paper we compute spectrum, Laplacian spectrum, signless Laplacian spectrum and their corresponding energies of commuting conjugacy class graph of the group $G(p, m, n) = \langle x, y : x^{p^m} = y^{p^n} = [x, y]^p = 1, [x, [x, y]] = [y, [x, y]] = 1\rangle$, where $p$ is any prime, $m \geq 1$ and $n \geq 1$. We derive some consequences along with the fact that commuting conjugacy class graph of $G(p, m, n)$ is super integral. We also compare various energies and determine whether commuting conjugacy class graph of $G(p, m, n)$ is hyperenergetic, L-hyperenergetic or Q-hyperenergetic.
