Title | : | How to store a graph? |
Speaker | : | Kshitij Gajjar (CSE, IIT Jodhpur) |
Details | : | Fri, 18 Aug, 2023 3:30 PM @ CS15 (@CSB) |
Abstract: | : | How does one store (save) a graph in a database? Typically, the vertices are labelled by a set: {1, 2, ..., n}. The edges can be denoted in many different ways: adjacency matrix, incidence matrix, and adjacency list, to name a few. However, what if the vertices are labelled in a more creative way, such that the labels themselves would denote the adjacencies of their vertices? This eliminates the need of storing the edges! This topic forms part of a heavily researched field called graph labelling, with connections to coding theory and information theory. In this talk we will be exploring a type of graph labelling called sum labelling. This is joint work with Henning Fernau https://eccc.weizmann.ac.il/report/2021/114 |