7 papers
Counting of lattices containing up to reducible elements and having nullity up to
Ashok Nivrutti Bhavale
In this paper, we count all non-isomorphic lattices on elements, containing four reducible elements and having nullity three. This work is in respect of Birkhoff's open problem…
Dimension of RC-lattices
Ashok Nivrutti Bhavale
In Dushnik and Miller introduced the concept of dimension of a poset. In Bhavale and Waphare introduced the concept of an RC-lattice as a lattice in which all the red…
On the Characteristic polynomial of ABS Matrix and ABS-Energy of Some Graphs
Sharad Barde, Ganesh Mundhe, Mayur Kshirsagar +1
For a graph with vertices and edges, Lin \textit{et al.} \cite{Lin} define the \textit{atom--bond sum-connectivity} () matrix of such that the $(i,j)^{\text{th…
Counting of lattices containing up to four comparable reducible elements and having nullity up to three
B. P. Aware, A. N. Bhavale
In 2020 Bhavale and Waphare introduced the concept of a nullity of a poset as nullity of its cover graph. According to Bhavale and Waphare, if a dismantlable lattice of nullity k c…
Counting of lattices containing up to five comparable reducible elements and having nullity up to three
B. P. Aware, A. N. Bhavale
In 2020 Bhavale and Waphare introduced the concept of a nullity of a poset as nullity of its cover graph. In 2003 Pawar and Waphare counted all non-isomorphic lattices on n element…
Enumeration of lattices of nullity and containing comparable reducible elements
A. N. Bhavale
In 2002 Thakare et al.\ counted non-isomorphic lattices on elements, having nullity up to two. In 2020 Bhavale and Waphare introduced the concept of RC-lattices as the class of…