5 papers
On the Spectrum of the Line Graph of a Family of Bipartite Graphs Arising from the Boolean Lattice
Ali Zafari, Saeid Alikhani
The Boolean lattice , , is the graph whose vertex set is the collection of all subsets of , where two subsets and are adjacent if and o…
A Minimum Doubly Resolving Set and Strong Resolving Set for the Crystal Cubic Carbon
Ali Zafari, Saeid Alikhani
The task of identifying resolving sets has been extensively studied due to its wide relevance in fields such as chemistry, robot navigation, combinatorial optimization, pattern rec…
The partition dimension and -domination number of a family of non-distance regular graph
Ali Zafari, Saeid Alikhani
A partition of the vertex set is a resolving partition if every pair of distinct vertices in has a unique representation relative to .…
Some results on Hamming graphs and an extended Hamming graphs
Ali Zafari, Saeid Alikhani
In this paper we first obtain the spectrum of the folded hypercube in a new approach. Then we introduce a new family of graphs called the extended Hamming graph, denoted by $EH(n,2…
On the spectrum of two families of non-distance-regular graphs
Ali Zafari, Saeid Alikhani
This paper addresses the challenge of spectral analysis and structural investigation for graphs that are not distance-regular, where computing the spectrum using standard methods b…