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. 2017 Jun 30;8:85. doi: 10.3389/fgene.2017.00085

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Copyright © 2017 Koch, Nöthen and Schleiff.

This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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An example for an ITP (A) and its reduced form (B). (A) An example of a small network that is CTI and contains an ITP (t_i, t_j). (B) The reduced network of (A). Place p₁₂ absorbed the edges of places p₁ and p₂ of the original net. The transitions t₂ and t₃ were neglected. The weight of edge t₁, p₁₂ was the sum of the weights of the edges t₁, p₁ and t₁, p₂ of the unreduced net in (A). The reduced net has the two TIs, (t₁ + 2t₄) and (t₁ + 2t₅). Extensions of these invariants gave the TIs,(t₁ + t₃ + 2t₄) and (t₁ + t₂ + 2t₅) of the original net. The TI, (t₁ + t₄ + t₅), is not minimal for the reduced net and will not be generated.