45 citations · 142 across the 32 of their papers we have counts for
6 papers · 1 filter
Free products, principal sums, bipartition complete matroids and the linking operation
H. Narayanan
In this paper we examine the special class of bipartition complete matroids, which includes free products and principal sums of matroids (Crapo and Schmitt, 2005; Bonin and Kung, 2…
On composition and decomposition operations for vector spaces, graphs and matroids
H. Narayanan
In this paper, we study the ideas of composition and decomposition in the context of vector spaces, graphs and matroids. For vector spaces $\V_{AB},$ treated as collection of row v…
Implicit Linear Algebra and Basic Circuit Theory II: port behaviour of rigid multiports
H. Narayanan
In this paper, we define the notion of rigidity for linear electrical multiports and for matroid pairs. We show the parallel between the two and study the consequences of this para…
Higher dimensional electrical circuits and the matroid dual of a nonplanar graph
Hariharan Narayanan, H. Narayanan
In this paper we describe a physical problem, based on electromagnetic fields, whose topological constraints are higher dimensional versions of Kirchhoff's laws, involving sim…
Estimating Certain Non-Zero Littlewood-Richardson Coefficients
Hariharan Narayanan
Littlewood Richardson coefficients are structure constants appearing in the representation theory of the general linear groups (). The main results of this paper are: 1. A st…
The computation of Kostka Numbers and Littlewood-Richardson Coefficients is #P-complete
Hariharan Narayanan
Kostka numbers and Littlewood-Richardson coefficients play an essential role in the representation theory of the symmetric groups and the special linear groups. There has been a si…