Graph Continued Fractions/ (Record no. 38767)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01953n a2200301#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 40126 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230123132002.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210830s2021 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Teses do IMPA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Spier, Thomas Jung |
| 9 (RLIN) | 9386 |
| 245 10 - TITLE STATEMENT | |
| Title | Graph Continued Fractions/ |
| Statement of responsibility, etc. | Thomás Jung Spier. |
| 246 1# - VARYING FORM OF TITLE | |
| Title proper/short title | Frações Contínuas de Grafos |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2021. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Defesa de Tese. |
| 500 ## - GENERAL NOTE | |
| General note | Banca examinadora: Carlos Gustavo Moreira - Orientador - IMPA Dimitar Dimitrov - Coorientador - UNESP Rob Morris - IMPA Nicolau Saldanha - PUC-Rio Gabriel Coutinho - UFMG Eduardo Tengan - UFSC |
| 505 1# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Abstract: This thesis studies a connection between matching polynomials and continued fractions. For the matching polynomials: we prove a refinement of a theorem by Ku and Wong, which extends the classical Gallai-Edmonds decomposition; we present a generalization of Sturm's classical theorem about the number of zeros of a real polynomial in an interval; we characterize the number of distinct zeros in terms of the dimension of a vector space generated by a family of matching polynomials; we prove an upper bound on the number of paths that start at some vertex of a graph. We also present simple formulas for means of continued fractions that are useful in the classical theory of the Pell equation . |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Teses do IMPA |
| Linkage | 24311 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Moreira, Carlos Gustavo T. de A. |
| Affiliation | (IMPA) |
| Relator term | orientador |
| 9 (RLIN) | 12783 |
| 711 2# - ADDED ENTRY--MEETING NAME | |
| Meeting name or jurisdiction name as entry element | Defesa de Tese |
| 9 (RLIN) | 10070 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | VIDEO |
| Uniform Resource Identifier | <a href="https://bit.ly/3kvMNhC">https://bit.ly/3kvMNhC</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | VIDEO |
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