2 citations · 3 across the 13 of their papers we have counts for
13 papers
A note on the recursive computation of the bracket polynomial for closed 4-tangles
Franck Ramaharo
Given a 4-tangle shadow, we concatenate it with itself n times and form a knot by applying a closure operation that connects each top endpoint to the corresponding bottom endpoint…
The bracket polynomial of the Celtic link shadow
Franck Ramaharo
We derive the Kauffman bracket polynomial for the shadow of the Celtic link using two complementary approaches. The first approach uses a recursive relation within the…
Determinants of renewable energy consumption in Madagascar: Evidence from feature selection algorithms
Franck Ramaharo, Fitiavana Randriamifidy
The aim of this note is to identify the factors influencing renewable energy consumption in Madagascar. We tested 12 features covering macroeconomic, financial, social, and environ…
Nowcasting Madagascar's real GDP using machine learning algorithms
Franck Ramaharo, Gerzhino Rasolofomanana
We investigate the predictive power of different machine learning algorithms to nowcast Madagascar's gross domestic product (GDP). We trained popular regression models, including l…
A bracket polynomial for 2-tangle shadows
Franck Ramaharo
We compute the Kauffman bracket polynomial of the numerator and denominator closures of A + A + ... + A ( A is repeated n times), where A is a 2-tangle shadow that has at most 4 cr…
Note on sequences A123192, A137396 and A300453
Franck Ramaharo
We give the connection between three polynomials that generate triangles in The On-Line Encyclopedia of Integer Sequences (A123192, A137396 and A300453). We show that they are rela…
A generating polynomial for the two-bridge knot with Conway's notation C(n,r)
Franck Ramaharo
We construct an integer polynomial whose coefficients enumerate the Kauffman states of the two-bridge knot with Conway's notation C(n,r).
A one-variable bracket polynomial for some Turk's head knots
Franck Ramaharo
We compute the Kauffman bracket polynomial of the three-lead Turk's head, the chain sinnet and the figure-eight chain shadow diagrams. Each of these knots can in fact be constructe…
A generating polynomial for the pretzel knot
Franck Ramaharo
We collect statistics which consist of the coefficients in the expansion of the generating polynomials that count the Kauffman states associated with certain classes of pretzel kno…
Statistics on some classes of knot shadows
Franck Ramaharo
The present paper is concerned with the enumeration of the state diagrams for some classes of knot shadows endowed with the usual connected sum operation. We focus on shadows that…
An approximate Jerusalem square whose side equals a Pell number
Franck Ramaharo
We take advantage of the properties of the Pell numbers to construct an integer version of the Jerusalem square fractal.
Enumerating the states of the twist knot
Franck Ramaharo
We enumerate the state diagrams of the twist knot shadow which consist of the disjoint union of two trivial knots. The result coincides with the maximal number of regions into whic…
A state enumeration of the foil knot
Franck Ramaharo, Fanja Rakotondrajao
We split the crossings of the foil knot and enumerate the resulting states with a generating polynomial. Unexpectedly, the number of such states which consist of two components are…