TY - JOUR
ID - 71870
TI - Detour Monophonic Graphoidal Covering Number of Corona Product Graph of Some Standard Graphs with the Wheel
JO - Journal of Algorithms and Computation
JA - JAC
LA - en
SN - 2476-2776
AU - Titus, P.
AU - Kumari, S. Santha
AD - Assistant Professor
Department of Mathematics
University College of Engineering Nagercoil
Anna University, Tirunelveli Region
Tamil Nadu, India.
AD - Anna University, Tirunelveli Region Nagercoil - 629 004, India.
Y1 - 2019
PY - 2019
VL - 51
IS - 1
SP - 129
EP - 145
KW - graphoidal cover
KW - monophonic path
KW - detour monophonic graphoidal cover
KW - detour monophonic graphoidal covering number
DO - 10.22059/jac.2019.71870
N2 - 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 $\psi_{dm}$ of detour monophonic paths in $G$ such that every vertex of $G$ is an internal vertex of at most one detour monophonic path in $\psi_{dm}$ and every edge of $G$ is in exactly one detour monophonic path in $\psi_{dm}$. 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 $\eta_{dm}(G)$. In this paper, we find the detour monophonic graphoidal covering number of corona product of wheel with some standard graphs
UR - https://jac.ut.ac.ir/article_71870.html
L1 - https://jac.ut.ac.ir/article_71870_c0c04234c24fab5bc234fb05354c2361.pdf
ER -