en عمومى General پژوهشي Research paper <div style="text-align: justify;">A difference labeling of a graph G is an injective function f : V (G) &rarr; N &cup; {0} together with the weight function f^&lowast; on E(G) given by f^&lowast;(uv) = |f(u) - f(v)| for every edge uv in G. The collection of subgraphs induced by the edges of the same weight is a decomposition of G and is called the common weight decomposition of G induced by f. Let &upsih;_f denote the collection of all the paths taken from each member of the common weight decomposition induced by f. A difference labeling f of G is said to be a graphoidal difference labeling if &upsih;_f is an acyclic graphoidal decomposition of G. This paper initiates a study on this concepts.</div> Decomposition, Graphoidal difference labeling. 153 168 http://ijmsi.ir/browse.php?a_code=A-10-4953-1&slc_lang=en&sid=1 H. Shanmuga Priya shanlimithun@gmail.com 100319475328460010224 100319475328460010224 Yes Department of Mathematics, Fatima College, Madurai - 18, India A. Anitha anithavalli@tce.edu 100319475328460010225 100319475328460010225 No Department of Mathematics, Thiagarajar College of Engineering, Madurai - 15, India I. Sahul Hamid sahulmat@yahoo.co.in 100319475328460010226 100319475328460010226 No Department of Mathematics, The Madura College, Madurai - 11, India