Mariano Marcos State University

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Computing eigenvalues of distance-regular graphs and their multiplicities / (Record no. 15887)

MARC details
000 -LEADER
fixed length control field 01658nam a22001697a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210618162852.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210618b |||||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency MMSU
Transcribing agency ULS
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Martinez,Myla Fei Q.
245 ## - TITLE STATEMENT
Title Computing eigenvalues of distance-regular graphs and their multiplicities /
Statement of responsibility, etc. Myla Fei Q. Martinez
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Date of publication, distribution, etc. 2019
500 ## - GENERAL NOTE
General note Thesis ( Master of Science in Mathematics) - Mariano Marcos State University,2019.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Bibliography: leaves 60-61.
520 ## - SUMMARY, ETC.
Summary, etc. ABSTRACT MARTINEZ, MYLA FEI QUIBUYEN. Mariano State University. May 2019. COMPUTING OF DISTANCE- REGULAR GRAPHS AND THEIR MULTIPLICITIES . Major Adviser: Michelle D. Reynera. The study gave an exposition of the Section 2.5 of the paper by Edwin R. Van Dam,Jack H. Koolen and Hajime Tanaka, titled Distance-Regular Graphs , which was published in Electronic Journal of Combinatorics on April 15,2016. The study focused on the computation of eigenvalues of distance-regular graphs. Specifically, it aimed to: a) expose an alternative method in computing the eigenvalues of distance-regular graphs using intersection numbers; b) provide details on the proof of Biggs’ formula which is used in determining the multiplicities of eigenvalues; c) determine the spectra of distance-regular graphs using Biggs formula ; and d) investigate some known properties of distance-regular graphs as related to their spectra. The results of the study show that the use of the intersection matrix of a distance-regular graph and the Biggs formula provide a convenient way in determining the eigenvalues of a distance-regular graph.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Thesis/Dissertation
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Inventory number Barcode Date last seen Price effective from Koha item type Public note
          MMSU Main Library MMSU Main Library Theses and Dissertation Section 06/18/2021 852 852-Thesis 06/18/2021 06/18/2021 Thesis/Dissertation ROOM USE ONLY

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