ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS
A distance-regular graph is a graph where the product of every two distance matrices is a linear combination of distance matrices. The Terwilliger algebra of a distanceregular graph is generated by the adjacency and dual Bose-Mesner algebras. A block matrix consists of submatrices obtained by par...
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id-itb.:836552024-08-12T13:50:09ZANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS Ahmad, Abdillah Indonesia Theses distance-regular graphs, Terwilliger algebra, subconstituent algebra, block matrix. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/83655 A distance-regular graph is a graph where the product of every two distance matrices is a linear combination of distance matrices. The Terwilliger algebra of a distanceregular graph is generated by the adjacency and dual Bose-Mesner algebras. A block matrix consists of submatrices obtained by partitioning its row and column sets. This Thesis gives a theory for analyzing Terwilliger algebras based on block structure and uses it to determine Terwilliger algebras of some classes of distanceregular graphs. text |
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A distance-regular graph is a graph where the product of every two distance matrices
is a linear combination of distance matrices. The Terwilliger algebra of a distanceregular
graph is generated by the adjacency and dual Bose-Mesner algebras. A
block matrix consists of submatrices obtained by partitioning its row and column
sets. This Thesis gives a theory for analyzing Terwilliger algebras based on block
structure and uses it to determine Terwilliger algebras of some classes of distanceregular
graphs. |
| format |
Theses |
| author |
Ahmad, Abdillah |
| spellingShingle |
Ahmad, Abdillah ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| author_facet |
Ahmad, Abdillah |
| author_sort |
Ahmad, Abdillah |
| title |
ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| title_short |
ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| title_full |
ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| title_fullStr |
ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| title_full_unstemmed |
ANALYSIS ON THE MATRIX BLOCK STRUCTURE OF TERWILLIGER ALGEBRAS OF DISTANCE-REGULAR GRAPHS |
| title_sort |
analysis on the matrix block structure of terwilliger algebras of distance-regular graphs |
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https://digilib.itb.ac.id/gdl/view/83655 |
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1822282591431032832 |