Results 11 to 20 of about 36 (29)
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A note on the graphoidal covering number of a graph
Journal of Discrete Mathematical Sciences and Cryptography, 2002Abstract A graphoidal cover of a graph G is a collection ψ of (not necessarily open) paths in G such that every vertex of G is an internal vertex of atmost one path in ψ and every edge of G is in exactly one path in ψ. The minimum cardinality of a graphoidal cover of G is called the graphoidal covering number of G and is denoted by η.
S Arumugam, Indra Rajasingh
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Prediction on nature of cancer by fuzzy graphoidal covering number using artificial neural network
Artificial Intelligence in MedicinePredicting the chances of various types of cancers for different organs in the human body is a typical decision-making process in medicine and health. The signaling pathways have played a vital role in increasing or decreasing the possibility of the deadliest disease, cancer. To combine the pathways concept and ambiguity in the prediction techniques of
Anushree Bhattacharya, Madhumangal Pal
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Simple Acyclic Graphoidal Covering Number In A Semigraph
Journal of Namibian Studies : History Politics Culture, 2023A simple graphoidal cover of a semigraph is a graphoidal cover of such that any two paths in have atmost one end vertex in common. The minimum cardinality of a simple graphoidal cover of is called the simple graphoidal covering number of a semigraph and is denoted by .
null W. Jinesha, null D. Nidha
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ON THE LABEL GRAPHOIDAL COVERING NUMBER-II
Discrete Mathematics, Algorithms and Applications, 2011Let G = (V, E) be a graph with p vertices and q edges. An acyclic graphoidal cover of G is a collection ψ of paths in G which are internally disjoint and covering each edge of the graph exactly once. Let f : V → {1, 2, …, p} be a labeling of the vertices of G. Let ↑Gf be the directed graph obtained by orienting the edges uv of G from u to v provided f(
I. Sahul Hamid, A. Anitha
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2019
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 ...
Titus, P., Kumari, S.
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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 ...
Titus, P., Kumari, S.
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On graphs whose acyclic graphoidal covering number is one less than its cyclomatic number.
Ars Comb., 2004Summary: A graphoidal cover of a graph \(G\) is a collection \(\psi\) of (not necessarily open) paths in \(G\) such that every vertex of \(G\) is in internal vertex of at most one path in \(\psi\) and every edge of \(G\) is an exactly one path in \(\psi\).
S. Arumugam +2 more
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Truly non-trivial graphoidal graphs
AKCE International Journal of Graphs and Combinatorics, 2022Rajesh Singh +2 more
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On graphoidal length of a tree in terms of its diameter
AKCE International Journal of Graphs and Combinatorics, 2020Purnima Gupta, Rajesh Singh
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Graphoidal graphs and graphoidal digraphs: a generalization of line graphs
AKCE International Journal of Graphs and Combinatorics, 2020S Arumugam
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Bounds on Graphoidal Length of a Graph
Electronic Notes in Discrete Mathematics, 2016S Arumugam, Purnima Gupta
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