1.1.3 Decide on a one-simplex-at-a-time refinement of the filtration of an abstract simplicial complex defined in the graphic in Figure 1.8. Figure 1.8 A new five-stage filtration of the same complex as in Figure 1.6. Construct the persistent homology barcodes in dimensions 0 and 1 for your refined filtration. 1.1.4 Construct the persistent homology barcodes in dimensions 0 and 1 for the six-stage filtration by compressing the barcode you got in the other prob- lem.

1.1.3 Decide on a one-simplex-at-a-time refinement of the filtration of an abstract simplicial complex defined in the graphic in Figure 1.8. Figure 1.8 A new five-stage filtration of the same complex as in Figure 1.6. Construct the persistent homology barcodes in dimensions 0 and 1 for your refined filtration. 1.1.4 Construct the persistent homology barcodes in dimensions 0 and 1 for the six-stage filtration by compressing the barcode you got in the other prob- lem.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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