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- Institute for Research in Fundamental SciencesIR51 papers
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7 papers · 2 filters
Total domination polynomial of graphs from primary subgraphs
Saeid Alikhani, Nasrin Jafari
Let be a simple graph of order . The total dominating set is a subset of that every vertex of is adjacent to some vertices of . The total domination…
Distinguishing number and distinguishing index of neighbourhood corona of two graphs
Saeid Alikhani, Samaneh Soltani
The distinguishing number (index) () of a graph is the least integer such that has an vertex labeling (edge labeling) with labels that is preserved on…
Domination polynomial of clique cover product of graphs
Somayeh Jahari, Saeid Alikhani
Let be a simple graph of order . The domination polynomial of is the polynomial , where is the number of dominating sets of …
On the roots of total domination polynomial of graphs
Saeid Alikhani, Nasrin Jafari
Let be a simple graph of order . The total dominating set of is a subset of that every vertex of is adjacent to some vertices of . The total domi…
Distinguishing number and distinguishing index of natural and fractional powers of graphs
Saeid Alikhani, Samaneh Soltani
The distinguishing number (index) () of a graph is the least integer such that has an vertex labeling (edge labeling) with labels that is preserved on…
Distinguishing number and distinguishing index of join of two graphs
Saeid Alikhani, Samaneh Soltani
The distinguishing number (index) () of a graph is the least integer such that has an vertex labeling (edge labeling) with labels that is preserved on…