3 citations · 9 across the 8 of their papers we have counts for
8 papers
Inequalities among two rowed immanants of the -Laplacian of Trees and Odd height peaks in generalized Dyck paths
Mukesh Kumar Nagar, Arbind Kumar Lal, Sivaramakrishnan Sivasubramanian
Let be a tree on vertices and let be the -analogue of its Laplacian. For a partition , let the normalized immanant of indexed by be denote…
Combinatorial Heat and Wave Equations on Certain Classes of Infinite Cayley and Coset Graphs
S. Mohanty, A. K. Lal
The combinatorial heat and wave equations on all finite Cayley and coset graphs with discrete time variable was solved by Lal {\it et al}. In this paper, the results of the above p…
Representation of Cyclotomic Fields and Their Subfields
A. Satyanarayana Reddy, Shashank K Mehta, A. K. Lal
Let $\K$ be a finite extension of a characteristic zero field $\F$. We say that the pair of matrices over $\F$ represents $\K$ if $\K \cong \F[A]/< B >$ where $…
Non-singular circulant graphs and digraphs
A. K. Lal, A. Satyanarayana Reddy
We give necessary and sufficient conditions for a few classes of known circulant graphs and/or digraphs to be singular. The above graph classes are generalized to -digraph…
Algebraic connectivity of connected graphs with fixed number of pendant vertices
Arbind K. Lal, Kamal L. Patra, Binod K. Sahoo
In this paper we consider the following problem: Over the class of all simple connected graphs of order with pendant vertices ( being fixed), which graph maximizes (re…
Group Signature Schemes Using Braid Groups
Tony Thomas, Arbind Kumar Lal
Artin's braid groups have been recently suggested as a new source for public-key cryptography. In this paper we propose the first group signature schemes based on the conjugacy pro…