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cs.IT2026

Exact Joint MAP Decoding for Unknown Load and Message Counts in Orthogonal Unsourced Random Access

Mohammad Kazemi, Mert Ozates

We study joint recovery of the load (the number of active users) and message-count vector in type-based unsourced random access with very short messages. Each user's -bit messag…

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…