The smallest positive eigenvalue of graphs / (Record no. 12274)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01424nam a22002297a 4500 |
| 001 - CONTROL NUMBER | |
| control field | PHD153 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IN-BhIIT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220501143611.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220501b |||||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IN-BhIIT |
| 041 ## - LANGUAGE CODE | |
| Language code of text | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Book number | RAN/T |
| 100 ## - MAIN ENTRY--RESEARCHER NAME | |
| Researcher name | Sonu Rani |
| Relator term | Author |
| 245 ## - TITLE STATEMENT | |
| Title | The smallest positive eigenvalue of graphs / |
| Statement of responsibility, etc | Sonu Rani; Guided by Sasmita Barik |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Bhubaneswar : |
| Name of publisher | IIT Bhubaneswar, |
| Year of publication | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxiv, 130p. ; |
| Dimensions | 22 cm. |
| 504 ## - BIBLIOGRAPHY, INDEX, ETC. | |
| Bibliography, etc. | Includes bibliographies and index. |
| 520 ## - ABSTRACT | |
| Abstract | In spectral graph theory, we associate a matrix to the given graph and then study different<br/>properties of the graph structure via eigenvalues of this matrix. One of the extensively<br/>studied matrices in this regard is the adjacency matrix. Only few of the eigenvalues of this<br/>matrix, in particular, the largest, the second largest and the smallest have been studied<br/>widely. Let G be a graph simple graph on n vertices and A(G) be the adjacency matrix of<br/>G. In this thesis, we focus on the smallest positive eigenvalue of the adjacency matrix. We<br/>call the smallest positive eigenvalue of A(G) as the smallest positive eigenvalue of a graph<br/>G, and denote it by τ (G). This particular eigenvalue is of importance in topological theory<br/>of conjugated π-electron systems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Eigenvalues |
| 700 ## - ADDED ENTRY--GUIDE NAME | |
| Guide name | Barik, Sasmita |
| Relator term | Guide |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | PhD Thesis |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|
| Not withdrawn | Not Lost | not damaged | Central Library, IIT Bhubaneswar | Central Library, IIT Bhubaneswar | 01/05/2022 | 510 RAN/T | PHD153 | 01/05/2022 | PhD Thesis |