arXiv
Open Access
2022
Maximum zeroth-order general Randić index of orientations of cacti
Jiaxiang Yang
Hanyuan Deng
Zikai Tang
Hechao Liu
Abstrak
The zeroth-order general Randić index $R^{0}_{a+1}$ of an $n$-vertices oriented graph $D$ is equal to the sum of $(d^{+}_{u_i})^{a}+(d^{-}_{u_j})^{a}$ over all arcs $u_iu_j$ of $D$, where we denote by $d^{+}_{u_i}$ the out-degree of the vertex $u_i$ and $d^{-}_{u_j}$ the in-degree of the vertex $u_j$, $a$ is an arbitrary real number. In the paper, we determine the orientations of cacti with the maximum value of the zeroth-order general Randić index for $a\geq 1$.
Topik & Kata Kunci
Penulis (4)
J
Jiaxiang Yang
H
Hanyuan Deng
Z
Zikai Tang
H
Hechao Liu
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓