Algorithms for 2-balanced connected k-partition problem in graphs

Motivated by the result of balanced connected graph edge partition problem for trees, we investigate the 2-balanced connected graph vertex k -partition problem. This paper leverages the charity vertex method and proposes several algorithms for 2-balanced vertex-connected partitioning. Furthermore, w...

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Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 50; no. 1; p. 4
Main Authors: Yu, Junran, Hu, Jing, Gao, Jiaquan, Du, Donglei, Zhang, Xiaoyan
Format: Journal Article
Language:English
Published: New York Springer US 01.08.2025
Springer Nature B.V
Subjects:
Algorithms
Approximation
Codes
Combinatorics
Convex and Discrete Geometry
Graphs
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Polynomials
Theory of Computation
Trees (mathematics)
Charity vertex
Balanced connected partition
Graph vertex partition algorithm
ISSN:1382-6905, 1573-2886
Online Access:Get full text
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Summary:Motivated by the result of balanced connected graph edge partition problem for trees, we investigate the 2-balanced connected graph vertex k -partition problem. This paper leverages the charity vertex method and proposes several algorithms for 2-balanced vertex-connected partitioning. Furthermore, we prove that these algorithms are polynomial-time solvable on degree-bounded graphs, thereby refining and extending the results of Caragiannis et al.
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ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-025-01332-0