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20 results for “packing number”

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math.COcs.DMTheoreticalRecentJun 28, 2026

Improved Domination--Packing Bounds in Claw-Free Cubic Graphs and Unit Disk Graphs

Juan Gutiérrez, Kaustav Paul

This paper improves the known bounds on the ratio between domination number and packing number in unit disk graphs and bridgeless claw-free cubic graphs.

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math.COcs.DMTheoreticalRecentJun 26, 2026

Algorithms for the Maximum Edge Open Packing Problem

Sriram Bhyravarapu, Gautam K. Das, Kamal Santra

This paper studies the computational complexity of Maximum Edge Open Packing Problem in distance-hereditary, biconvex bipartite, and chordal graphs, providing polynomial-time algorithms and a fixed-pa…

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cs.DScs.GTTheoreticalRecentJul 21, 2026

Packing Linear Programs and Fractional Knapsack using Comparison Oracles

Ritabrata Barat, Siddharth Barman, Nirjhar Das, Sukruta Midigeshi

This paper presents a polynomial-time algorithm for recovering item values in the fractional knapsack problem using comparison queries, and provides a lower bound.

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cs.CRcs.DSRecentApr 6, 2026

Packing Entries to Diagonals for Homomorphic Sparse-Matrix Vector Multiplication

Kemal Mutluergil, Deniz Elbek, Kamer Kaya, Erkay Savaş

This paper proposes methods to optimally permute the rows and columns of a sparse matrix to minimize the number of cyclic diagonals required for homomorphic sparse-matrix vector multiplication, signif…

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cs.DScs.DMTheoreticalRecentJul 23, 2026

Approximation Algorithms for Inventory Problems with Decomposable Submodular Ordering Costs

Retsef Levi, Georgia Perakis, Emily Zhang

This paper proposes an approximation algorithm for the submodular joint replenishment problem with decomposable submodular ordering cost functions, achieving an O(k)-approximation.

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cs.DScs.DMTheoreticalRecentJun 11, 2026

(Un)ranking Permutation Classes

Nathanaël Hassler, Vincent Vajnovszki

This paper presents methods for ranking and unranking permutations avoiding a pattern of length three in lexicographic or colexicographic order.

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cs.CCmath.COTheoreticalRecentJun 28, 2026

On the Complexity of Counting Orderings in Graphs

Marcelo Arenas, María Alejandra Schild, Bernardo Subercaseaux

This paper shows #P-completeness for several graph counting problems using a new technique.

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cs.DSTheoreticalRecentJun 19, 2026

Online Stacking with a Few Load/Unload Points

Martin Olsen

A simple online algorithm is presented for the stacking problem to avoid shifts with a sufficient condition involving stacking area dimension, load/unload points, and maximum items.

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cs.NEcs.AIRecentMay 29, 2026

Linear Ordering Problem: Time for a Change

Fabrizio Fagiolo, Marco Baioletti, Valentino Santucci

The paper addresses limitations in the Linear Ordering Problem (LOP) by introducing a novel benchmark suite derived from current economic data and an algorithmic scheme to generate diverse, high-quali…

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cs.DSTheoreticalRecentJun 26, 2026

Incremental Submodular Maximization: Better Than Greedy

Marcin Bienkowski, Joakim Blikstad, Jarosław Byrka, Martín Costa +2 more

The paper presents an adaptive scaling algorithm with a competitive ratio of 1.373 for incremental submodular maximization under increasing cardinality constraint, improving upon the previous best res…

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math.COcs.DMTheoreticalRecentJul 1, 2026

Annihilation, Independence, and Residue: Sharp Matching Bounds for the Annihilation Gap and a TxGraffiti Application

Ohr Kadrawi, Vadim E. Levit

This paper provides bounds on the difference between the annihilation number and independence number of a finite simple graph, and proves these bounds for various types of graphs.

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cs.DScs.DMmath.COTheoreticalRecentJul 10, 2026

A Polynomial-Time Algorithm for Coloring Perfect Graphs Based on Walk Counting

Amir Ali Ahmadi, Pravesh K. Kothari, Yukai Tang

A new polynomial-time algorithm is presented for optimally coloring perfect graphs using graph-theoretic operations and iterative walk counting.

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