Algorithmic study of d2-transitivity of graphs
Copyright policy )Algorithmic study of d2-transitivity of graphs
Let $G=(V, E)$ be a graph where $V$ and $E$ are the vertex and edge sets, respectively. For two disjoint subsets $A$ and $B$ of $V$, we say $A$ \emph{dominates} $B$ if every vertex of $B$ is adjacent to at least one vertex of $A$. A vertex partition $π= \{V_1, V_2, \ldots, V_k\}$ of $G$ is called a \emph{transitive partition} of size $k$ if $V_i$ dominates $V_j$ for all $1\leq i
arXiv admin note: text overlap with arXiv:2211.13931
bipartite graphs, \(d_2\)-transitivity, NP-completeness, np-completeness, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), d2-transitivity, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph algorithms (graph-theoretic aspects), split graphs, QA1-939, FOS: Mathematics, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics, linear algorithm
bipartite graphs, \(d_2\)-transitivity, NP-completeness, np-completeness, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), d2-transitivity, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph algorithms (graph-theoretic aspects), split graphs, QA1-939, FOS: Mathematics, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics, linear algorithm
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