دوره 17، شماره 1 - ( 1-1401 )
جلد 17 شماره 1 صفحات 163-153 |
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Soltankhah N, Khademian N K. On the Volume of µ-way G-trade. IJMSI 2022; 17 (1) :153-163
URL: http://ijmsi.ir/article-1-1740-fa.html
URL: http://ijmsi.ir/article-1-1740-fa.html
On the Volume of µ-way G-trade. مجله علوم ریاضی و انفورماتیک. 1401; 17 (1) :153-163
چکیده:
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} $.
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