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20232026
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cs.DS2026

Structural Complexity of Matching-Match: Dense and Sparse Graphs

Ilie Dumitru, Adrian Miclăuş, Alexandru Popa

The Matching-Match puzzle asks whether the vertices of a fixed graph can be colored so that the multiset of color pairs induced by its edges is exactly a prescribed multiset. We st…

cs.DS2026

An Approximation Algorithm for Non-uniform Non-contiguous Translocation Distance

Maria Constantin, Adrian Miclăuş, Alexandru Popa

Translocations are genome rearrangement operations that exchange prefixes of two chromosomes. We study the non-uniform non-contiguous translocation distance problem, where every st…

cs.DS2026

Colored Interaction-Profile Realization: Complexity of Matching-Match on Spiders

Ilie Dumitru, Adrian Miclaus, Alexandru Popa

Network motifs and colored local interaction patterns provide a useful way to describe the structure of complex networks. Motivated by an inverse realization perspective, we study…

cs.DS2026

Maximum Matching-Match: Hardness and Approximation

Ilie Dumitru, Adrian Miclăuş, Alexandru Popa

In this paper, we study \textsc{MaxMMP}, an optimization variant of the Matching-Match Puzzle introduced by Iburi and Uehara (FUN 2024). Given a graph, a partial vertex coloring, a…

cs.DS2026

Complexity and Algorithms for Unary Translocation Distance

Maria Constantin, Adrian Miclăuş, Alexandru Popa +1

Given a finite set of integers , a \emph{unary translocation} produces a new set , where and are nonnegative integers satisfying for some…