My Top 10 Graph Theory Conjectures and Open Problems
DOI10.1007/978-3-319-31940-7_8zbMath1352.05049OpenAlexW2532259897MaRDI QIDQ5506779
Publication date: 16 December 2016
Published in: Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-31940-7_8
Trees (05C05) Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Vertex degrees (05C07) Graph operations (line graphs, products, etc.) (05C76)
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Cites Work
- A note on \(\gamma\)-graphs
- The path partition conjecture is true for claw-free graphs
- Queen's domination using border squares and \((A,B)\)-restricted domination
- Minimum dominating set of queens: a trivial programming exercise?
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- Achromatic number versus pseudoachromatic number: A counterexample to a conjecture of Hedetniemi
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- A survey of the Path Partition Conjecture
- γ-graphs of graphs
- Vizing's conjecture: a survey and recent results
- The Domination Number of Grids
- Packing a tree with a graph of the same size
- Total domination in graphs
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- Hedetniemi's conjecture---a survey
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