The Pseudo Cosine Sequences of a Distance-Regular Graph

Details The Pseudo Cosine Sequences of a Distance-Regular Graph The Pseudo Cosine Sequences of a Distance-Regular Graph

2003-12-08

arxiv.org/abs/math/0312150v1

Mathematics

Combinatorics

25 pages

Scientific paper

Let $G$ denote a distance-regular graph with diameter $D\ge 3$, valency $k$, and intersection numbers $a_i$, $b_i$, $c_i$. By a {\it pseudo cosine sequence} of $G$ we mean a sequence of real numbers $s_0, s_1, ..., s_D$ such that $s_0=1$ and $c_i s_{i-1}+a_i s_i+b_i s_{i+1}=k s_1 s_i$ for $ 0 \le i \le D-1$. Let $s_0, s_1,..., s_D$ and $p_0, p_1, ..., p_D$ denote pseudo cosine sequences of $G$. We say this pair of sequences is {\it tight} whenever $s_0 p_0, s_1 p_1, ..., s_D p_D$ is a pseudo cosine sequence of $G$. In this paper, we determine all the tight pairs of pseudo cosine sequences of $G$.

Affiliated with

Also associated with

No associations

Rating

The Pseudo Cosine Sequences of a Distance-Regular Graph does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Pseudo Cosine Sequences of a Distance-Regular Graph, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Pseudo Cosine Sequences of a Distance-Regular Graph will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252677