31 citations · 55 across the 4 of their papers we have counts for
7 papers
On the Irregularity of Some Molecular Structures
Hosam Abdo, Darko Dimitrov, Wei Gao
Measures of the irregularity of chemical graphs could be helpful for QSAR/QSPR studies and for the descriptive purposes of biological and chemical properties, such as melting and b…
On extremal trees with respect to the -index
Hosam Abdo, Darko Dimitrov, Ivan Gutman
In a study on the structure--dependency of the total -electron energy from 1972, Trinajstić and one of the present authors have shown that it depends on the sums $\sum_{v\in V}d…
Non-regular graphs with minimal total irregularity
Hosam Abdo, Darko Dimitrov
The {\it total irregularity} of a simple undirected graph is defined as , where denot…
The Total Irregularity of Graphs under Graph Operations
Hosam Abdo, Darko Dimitrov
The total irregularity of a graph is defined as $\irr_t(G)=1/2 \sum_{u,v \in V(G)}$ , where denotes the degree of a vertex . In this paper…
The total irregularity of a graph
Hosam Abdo, Darko Dimitrov
In this note a new measure of irregularity of a simple undirected graph is introduced. It is named the total irregularity of a graph and is defined as $\irr_t(G) = 1/2\sum_{u,v…
Bounds and Computation of Irregularity of a Graph
Hosam Abdo, Nathann Cohen, Darko Dimitrov
Albertson has defined the irregularity of a simple undirected graph as $ \irr(G) = \sum_{uv\in E}|d_G(u)-d_G(v)|,$ where denotes the degree of a vertex …
On the Zagreb Indices Equality
Hosam Abdo, Darko Dimitrov, Ivan Gutman
For a simple graph with vertices and edges, the first Zagreb index and the second Zagreb index are defined as and $M_2(G)=\sum_{uv\in E}d(…