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洞見 - Graph Theory Analysis
Recognizing Relating Edges in Graphs without Cycles of Length 6
Recognizing relating edges is NP-complete for graphs without cycles of length 6.
Analyzing Face-hitting Dominating Sets in Planar Graphs
The authors demonstrate the existence of dominating and face-hitting sets in plane graphs, highlighting the necessity of specific conditions for their conclusions.
Analyzing (n, m)-Chromatic Numbers of Graphs with Bounded Sparsity Parameters
The author explores the relationship between (n, m)-chromatic numbers and sparsity parameters in graphs, revealing new insights and bounds.
Minimum Acyclic and Maximum Dichromatic Numbers in Oriented Triangle-Free Graphs
The authors investigate the minimum acyclic number and maximum dichromatic number in oriented triangle-free graphs of a given order, providing bounds and constructions to support their findings.
Broadcast Independence Number of Oriented Circulant Graphs Study
The author explores the broadcast independence number of oriented circulant graphs, focusing on independent broadcasts and their properties.
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