The function Ecol_M M in the Python programme that implements this approach discovers the minimum edge colours for a graph that is passed to it in the form of an incidence matrix. To discover the maximal matching in the graph, we utilise the Maximal Match function from the earlier constructed module MATCH within this function. The list edges is used to retain uncolored edges, while the list edge color is used to hold the current edge colours. The while loop continues to run until the edges list is empty, at which point all edges have been coloured. At each iteration, the graph is reduced by removing the columns associated with the matched edges

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
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The function Ecol_M M in the Python programme that implements this approach discovers the minimum edge colours for a graph that is passed to it in the form of an incidence matrix. To discover the maximal matching in the graph, we utilise the Maximal Match function from the earlier constructed module MATCH within this function. The list edges is used to retain uncolored edges, while the list edge color is used to hold the current edge colours. The while loop continues to run until the edges list is empty, at which point all edges have been coloured. At each iteration, the graph is reduced by removing the columns associated with the matched edges.

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A sample graph for edge coloring algorithm that uses matching
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Transcribed Image Text:eo e14 e12 7 1 e13 ell el e5 8 e10 2 e4 5 10 e2 e3 e9 e6 A sample graph for edge coloring algorithm that uses matching 3 4 e8 e7
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