Combinatorics and Graph Theory

1404 Submissions

[2] viXra:1404.0447 [pdf] submitted on 2014-04-23 11:36:30

Fibonacci Quarternions

Authors: John Frederick Sweeney
Comments: 18 Pages.

Pascal’s Triangle, originally Mount Meru of Vedic Physics, provides the perfect format for a combinatorial Universe, with its binomial coefficients, as well as its ease of determining Fibonacci Numbers. Matrix and Clifford algebras, in the form of the chart above, can be shaped into a form identical with Pascal’s Triangle. At the same time, a Romanian researcher has devised an algorithm for determining a Fibonacci Number as a quarternion. This paper poses the question as to whether the Clifford Pyramid contains properties similar to Pascal's Triangle.
Category: Combinatorics and Graph Theory

[1] viXra:1404.0066 [pdf] submitted on 2014-04-08 12:32:15

On the K-Clique Problems: a New Approach

Authors: Dhananjay P. Mehendale
Comments: 9 pages.

In this paper we discuss new approach to deal with k-clique problems or their equivalents, namely, k-independent set problems.
Category: Combinatorics and Graph Theory