Title of article :
Detour Monophonic Graphoidal Covering Number of Corona Product Graph of Some Standard Graphs with the Wheel
Author/Authors :
Titus, P Anna University - Tirunelveli Region Nagercoil, India , Santha Kumari, S Department of Mathematics Udaya School of Engineering Vellamodi, India
Abstract :
A chord of a path P is an edge joining two non-adjacent
vertices of P. A path P is called a monophonic path
if it is a chordless path. A longest x y monophonic
path is called an x y detour monophonic path. A
detour monophonic graphoidal cover of a graph G is a
collection dm of detour monophonic paths in G such
that every vertex of G is an internal vertex of at most
one detour monophonic path in dm and every edge of G
is in exactly one detour monophonic path in dm. The
minimum cardinality of a detour monophonic graphoidal
cover of G is called the detour monophonic graphoidal
covering number of G and is denoted by dm(G). In
this paper, we nd the detour monophonic graphoidal
covering number of corona product of wheel with some
standard graphs.
Keywords :
graphoidal cover , monophonic path , detour mono- phonic graphoidal cover , detour monophonic graphoidal cov- ering number
Journal title :
Astroparticle Physics