Advances in Mathematical Chemistry and Applications Volume 1 (Revised Edition)

Author(s): Matthias Dehmer and Lavanya Sivakumar

DOI: 10.2174/9781681081977115010011

On Comparability Graphs: Theory and Applications

Pp: 139-160 (22)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

In this paper, we review classical and recent developments on comparability graphs. Also, we demonstrate that comparability graphs are useful to analyze molecular graphs by presenting classical and new results. In fact, it turns out that the underlying model is quite general and, hence, could be used to analyze any kind of network data.

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