Browsing Articles: Department of Mathematics and Statistics by Author "Kimani, Patrick"
Now showing items 1-10 of 10
-
Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-Element and 5- Element Subsets
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Lao, Hussein; Kimani, Jacob (UoEm, 2015)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-Element and 5- Element Subsets
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Lao, Hussein; Kimani, Jacob (UoEm, 2015)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and on Ordered Triples
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Muthoka, Geoffrey (Uoem, 2014)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and on Ordered Triples
Kimani, Patrick; Rimberia, Jane; Muthoka, Geoffrey; Lao, Hussein (UoEm, 2014)Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply ... -
Cycle Index Formulas for Dn Acting on Ordered pairs
Muthoka, Geoffrey; Kamuti, Ireri; Kimani, Patrick; Hussein, Lao (UoEm, 2016-04)The cycle index of dihedral group Dn acting on the set of the vertices of a regular n-gon was studied by Harary and Palmer in 1973 [1]. Since then a number of researchers have studied the cycle indices dihedral group ... -
Modelling and Simulation of Competition for Students’ Population with Holling Type II Response
Odhiambo, Brian; Ngari, Cyrus; Kimani, Patrick; Njori, Peter (UoEm, 2023)Te increase in the country’s population attracted the establishment of more schools, both public and private schools, to cater for the increasing number of students. However, there have been dynamics of students’ population ... -
On the Number of Cyclotomic Cosets and Cyclic Codes over Z13
Hussein, Lao; Kivunge, Benard; Kimani, Patrick; Muthoka, Geoffrey (UoEm, 2018-06)Let Zq be a finite field with q element and x n − 1 be a given cyclotomic polynomial. The number of cyclotomic cosets and cyclic codes has not been done in general. Although for different values of q the polynomial x n ... -
Predicting the Number of Tourists in-Flow to Kenya Using Seasonal Autoregressive Integrated Moving Average Model
Gechore, Dennis; Atitwa, Edwin; Kimani, Patrick; Wanyonyi, Maurice (UoEm, 2022-12)Tourism is the leading source of revenue to the Kenyan Government, contributing about 8.8% to the Kenya’s Gross Domestic Product. Based on the 2019 report released by the ministry of tourism and wildlife, tourism industry ... -
Rank and Subdegrees of P GL(2, q) Acting Cosets of P GL(2, e) for q an Even Power of e
Kimani, Patrick; Kamuti, Ireri; Rimberia, Jane (UoEm, 2019)The action of projective general group on the cosets of its maximal subgroups has been studied. For instance, [9] studied the action of G on the cosets of P GL(2, e) when q is an odd prime power of e. In this paper, we ... -
Ranks, Subdegrees and Suborbital graphs of the product action of Affine Groups
Agwanda, Siahi Maxwell; Kimani, Patrick; Kamuti, Ireri (UoEm, 2020)The action of affine groups on Galois field has been studied. For instance, [3] studied the action of 𝐴𝑓𝑓 (𝑞 ) on Galois field 𝐺𝐹 (𝑞) for 𝑞 a power of prime 𝑝. In this paper, the rank and subdegree of the direct ...