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arXiv · 2502.15453

An efficient algorithm for generating transmission irregular trees

Ivan Stošić·Ivan Damnjanović
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Abstract

The transmission of a vertex in a connected graph is the sum of distances from that vertex to all the other vertices. A connected graph is transmission irregular if any two distinct vertices have different transmissions. We present an efficient algorithm that generates all the transmission irregular trees up to a given order, up to isomorphism.

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Ivan Stošić, Ivan Damnjanović. 2025-02-21. An efficient algorithm for generating transmission irregular trees. https://doi.org/10.1007/s40314-025-03474-7

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