On distance-regular graphs and (s,c,a,k)-graphs
This thesis is an exposition of the paper of Paul Terwilliger entitled Distance-Regular Graphs and (s, c, a, k)-Graphs . In this paper, the following are presented: 1. A diameter bound theorem for a class of distance-regular graphs which includes all those with even girth. 2. A new class of graphs,...
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1998
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oai:animorepository.dlsu.edu.ph:etd_masteral-87872022-05-27T01:28:05Z On distance-regular graphs and (s,c,a,k)-graphs Bautista, Lincoln A. This thesis is an exposition of the paper of Paul Terwilliger entitled Distance-Regular Graphs and (s, c, a, k)-Graphs . In this paper, the following are presented: 1. A diameter bound theorem for a class of distance-regular graphs which includes all those with even girth. 2. A new class of graphs, called (s, c, a, k)-graphs, which are conjectured to contain enough of the local structure of finite distance-regular graphs for them to be all finite. 3. A (s, c, a, k)-graph is finite and a bound on the diameter is given if a - c. 1998-12-01T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/1949 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8787/viewcontent/TG02827_F_Partial.pdf Master's Theses English Animo Repository Graph theory Combinatorial analysis Mathematics Paths and cycles (Graph theory) Discrete Mathematics and Combinatorics Mathematics |
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Graph theory Combinatorial analysis Mathematics Paths and cycles (Graph theory) Discrete Mathematics and Combinatorics Mathematics |
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Graph theory Combinatorial analysis Mathematics Paths and cycles (Graph theory) Discrete Mathematics and Combinatorics Mathematics Bautista, Lincoln A. On distance-regular graphs and (s,c,a,k)-graphs |
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This thesis is an exposition of the paper of Paul Terwilliger entitled Distance-Regular Graphs and (s, c, a, k)-Graphs . In this paper, the following are presented: 1. A diameter bound theorem for a class of distance-regular graphs which includes all those with even girth. 2. A new class of graphs, called (s, c, a, k)-graphs, which are conjectured to contain enough of the local structure of finite distance-regular graphs for them to be all finite. 3. A (s, c, a, k)-graph is finite and a bound on the diameter is given if a - c. |
| format |
text |
| author |
Bautista, Lincoln A. |
| author_facet |
Bautista, Lincoln A. |
| author_sort |
Bautista, Lincoln A. |
| title |
On distance-regular graphs and (s,c,a,k)-graphs |
| title_short |
On distance-regular graphs and (s,c,a,k)-graphs |
| title_full |
On distance-regular graphs and (s,c,a,k)-graphs |
| title_fullStr |
On distance-regular graphs and (s,c,a,k)-graphs |
| title_full_unstemmed |
On distance-regular graphs and (s,c,a,k)-graphs |
| title_sort |
on distance-regular graphs and (s,c,a,k)-graphs |
| publisher |
Animo Repository |
| publishDate |
1998 |
| url |
https://animorepository.dlsu.edu.ph/etd_masteral/1949 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8787/viewcontent/TG02827_F_Partial.pdf |
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1772835805145858048 |