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on the hierarchical product of graphs
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نویسنده
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imrich wilfried ,makar gabriela ,palmen juliana ,zajac piotr
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منبع
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journal of discrete mathematics and its applications - 2024 - دوره : 9 - شماره : 3 - صفحه:163 -171
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چکیده
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The hierarchical product of graphs is a variant of the cartesian product. it is associative, not commutative, and finite connected graphs have unique first prime factors with respect to it. we present examples of infinite graphs with different first prime factors, and show that homogeneous trees of finite degree have unique prime factoriza-tions with respect to the hierarchical product. on the way, we pose two problems.
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کلیدواژه
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hierarchical products of finite and infinite graphs ,prime factor-izations ,trees
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آدرس
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montanuniversität leoben, austria, agh university of krakow, poland, agh university of krakow, poland, agh university of krakow, poland
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Authors
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