RT - Journal Article T1 - On the Volume of ยต-way G-trade JF - IJMSI YR - 2022 JO - IJMSI VO - 17 IS - 1 UR - http://ijmsi.ir/article-1-1740-en.html SP - 153 EP - 163 K1 - Trade K1 - $ G $-trade K1 - $ mu $-way $ G $-trade K1 - Trade spectrum. AB - A $ mu $-way $ G $-trade ($ mu geq 2) $ consists of $ mu $ disjoint decompositions of some simple (underlying) graph $ H $ into copies of a graph $ G. $ The number of copies of the graph $ G $ in each of the decompositions is the volume of the $ G $-trade and denoted by $ s. $ In this paper, we determine all values $ s $ for which there exists a $ mu $-way $ K_{1,m} $-trade of volume $ s $ for underlying graph $ H=K_{2m,2m} $ and $ H=K_{2m} $. LA eng UL http://ijmsi.ir/article-1-1740-en.html M3 10.52547/ijmsi.17.1.153 ER -