activity
20222026
most citedLinearly ordered colourings of hypergraphs

10 citations · 12 across the 9 of their papers we have counts for

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8 papers · 1 filter

cs.DS2026

Space-Efficient Hierholzer for Undirected Graphs

Elena Grigorescu, Ziad Ismaili Alaoui, Tamio-Vesa Nakajima +2

We present a simple linear-time algorithm that outputs an Eulerian tour of an undirected multigraph with vertices and edges, if one exists, in time and using …

cs.DS2026

Virtual-Memory Powersort

Finn Moltmann, Tamio-Vesa Nakajima, Sebastian Wild

We give a more space-efficient implementation of adaptive mergesort: Virtual-Memory Powersort. Using internal buffering techniques, we significantly reduce the memory consumption o…

cs.DS2026

Rooting Out Entropy: Optimal Tree Extraction for Ultra-Succinct Graphs

Ziad Ismaili Alaoui, Tamio-Vesa Nakajima, Namrata +1

We combine two methods for the lossless compression of unlabeled graphs - entropy compressing adjacency lists and computing canonical names for vertices - and solve an ensuing nove…

cs.DS2025

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa

Benjamin Bedert, Tamio-Vesa Nakajima, Karolina Okrasa +1

We introduce a new notion of sparsification, called \emph{strong sparsification}, in which constraints are not removed but variables can be merged. As our main result, we present a…

cs.DS2024

Maximum And- vs. Even-SAT

Tamio-Vesa Nakajima, Stanislav Živný

A multiset of literals, called a clause, is \emph{strongly satisfied} by an assignment if \emph{no} literal evaluates to false. Finding an assignment that maximises the number of s…

cs.DS2024

A Dichotomy for Maximum PCSPs on Graphs

Tamio-Vesa Nakajima, Stanislav Živný

Fix two non-empty loopless graphs and such that maps homomorphically to . The Maximum Promise Constraint Satisfaction Problem parameterised by and is the fol…

cs.DS2024

An approximation algorithm for Maximum DiCut vs. Cut

Tamio-Vesa Nakajima, Stanislav Živný

Goemans and Williamson designed a 0.878-approximation algorithm for Max-Cut in undirected graphs [JACM'95]. Khot, Kindler, Mosel, and O'Donnel showed that the approximation ratio o…

cs.DS2023

Maximum - vs. -colourings of graphs

Tamio-Vesa Nakajima, Stanislav Živný

We present polynomial-time SDP-based algorithms for the following problem: For fixed , given a real number and a graph that admits a -colouring with a …