The Detour Monophonic Convexity Number of a Graph

M Sivabalan, S Sundar Raj, V Nagarajan

Abstract


A set  is detour monophonic convexif  The detour monophonic convexity number is denoted by  is the cardinality of a maximum proper detour monophonic convex subset of  Some general properties satisfied by this concept are studied. The detour monophonic convexity number of certain classes of graphs are determined. It is shown that for every pair of integers   and  with  there exists a connected graph  such that   and , where  is the monophonic convexity number of G

Keywords


convex, detour, chord, detour monophonic path, monophonic convexity number, detour monophonic, convexity number.

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DOI: http://dx.doi.org/10.23755/rm.v44i0.918

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.