Graph Theoretical Model And Analysis Of Carbon Cycle

Abstract

The importance of gases like carbon dioxide, nitrogen, sulfur, etc and their cycling through ecosystems has been studied a number of times so far. It is now appropriate to recognize the cyclic patterns of these gases to a greater extent to seek out the general patterns that may exist amongst them and subsequently the effects resulting from inadvertent or purposeful human interaction with them. This study derives a mathematical model for the carbon cycle aimed to consider all the possible interactions in a system in order to have a highly balanced ecosystem. Graph theoretical models, variable permanent adjacency matrix models and permanent functions of these systems based on Graph theory-matrix algebrapermanent function methodology were developed. This will help in the assessment of the earth' s ecosystems.