4 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3
Abdulaziz Mutlaq Alotaibi, Abdulaziz M. Alanazi, Taher S. Hassan +1
For a graph with edge set , let denote the degree of a vertex in . The diminished Sombor (DSO) index of is defined as $DSO(G)=\sum_{uv\in E}\sqrt{(d(u))^2+…
Signed Partitions and Rogers-Ramanujan type Identities
Abdulaziz M. Alanazi, Augustine O. Munagi, Andrew V. Sills
George Andrews [\emph{Bull. Amer. Math. Soc.}, 2007, 561--573] introduced the idea of a \emph{signed partiton} of an integer; similar to an ordinary integer partitions, but where s…
"Overpartitionized" Rogers--Ramanujan type identities
Abdulaziz Alanazi, Augustine O. Munagi, Andrew V. Sills
Many classical -series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically m…
On a Conjecture Concerning the Complementary Second Zagreb Index
Hicham Saber, Tariq Alraqad, Akbar Ali +2
The complementary second Zagreb index of a graph is defined as , where denotes the degree of a vertex in and…