1 citations · 3 across the 12 of their papers we have counts for
13 papers
Strong zero-divisor graph of p.q.-Baer -rings
Anil Khairnar, Nana Kumbhar, B. N. Waphare
In this paper, we study the strong zero-divisor graph of a p.q.-Baer -ring. We determine the condition on a p.q.-Baer -ring (in terms of the smallest central projection in a…
On Unitification of -rings
Sanjay More, Anil Khairnar, B. N. Waphare
S. K. Berberian raised the open problem ``Can every weakly Rickart -ring be embedded in a Rickart -ring? with preservation of right projections?" Berberian has given a partia…
On the characterization of Eulerian -splitting -matroids
Uday Jagadale, Prashant Malavadkar, Sachin Gunjal +1
The -splitting operation on binary bridge-less matroids never produces an Eulerian matroid. But for matroids representable over called -matroids, the -spl…
Decomposition of Augmented Cubes into Regular Connected Pancyclic Subgraphs
S. A. Kandekar, Y. M. Borse, B. N. Waphare
In this paper, we consider the problem of decomposing the augmented cube into two spanning, regular, connected and pancyclic subgraphs. We prove that for and $ 2…
Connectivity and edge-bipancyclicity of hamming shell
S. A. Mane, B. N. Waphare
An Any graph obtained by deleting a Hamming code of length n from a n-cube Qn is called as a Hamming shell. It is well known that a Hamming shell is vertex-transitive, edge-transit…
Decompositions of -Cube into -Cycles
S. A. Tapadia, B. N. Waphare, Y. M. Borse
It is known that the -dimensional hypercube for even, has a decomposition into -cycles for with In this paper, we prove that $Q…
Construction of Four Completely Independent Spanning Trees on Augmented Cubes
S. A. Mane, S. A. Kandekar, B. N. Waphare
Let T1, T2,..., Tk be spanning trees in a graph G. If for any pair of vertices {u, v} of G, the paths between u and v in every Ti( 0 < i < k+1) do not contain common edges and comm…
Generalized Projections in Zn
Anil Khairnar, B. N. Waphare
We consider the ring (integers modulo ) with the partial order `' given by ` if either or '. In this paper, we obtain nec…
Unitification of Weakly p.q.-Baer *-Rings
Anil Khairnar, B. N. Waphare
In this paper, we introduce a concept of weakly principally quasi-Baer *-rings in terms of central cover. We prove that a *-rings is a principally quasi-Baer *-rings if and only if…
Conrad's Partial Order on p.q.-Baer *-Rings
Anil Khairnar, B. N. Waphare
We prove that p.q.-Baer *-ring forms a pseudo lattice with Conrads partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-r…
Natural Partial Order on Rings with Involution
Avinash Patil, B. N. Waphare
In this paper, we introduce a partial order on rings with involution, which is a generalization of the partial order on the set of projections in a Rickart *-ring. We prove that a…
Zero-divisor graphs of lower dismantlable lattices-II
Avinash Patil, B. N. Waphare, Vinayak Joshi
In this paper, we continue our study of the zero-divisor graphs of lower dismantlable lattices that was started in [20]. The present paper mainly deals with an Isomorphism Problem…
Zero-divisor graphs of lower dismantlable lattices-I
Avinash Patil, B. N. Waphare, Vinayak Joshi +1
In this paper, we study the zero-divisor graphs of a subclass of dismantlable lattices. These graphs are characterized in terms of the non-ancestor graphs of rooted trees.