Total weight choosability for Halin graphs
نویسندگان
چکیده
A proper total weighting of a graph G is mapping φ which assigns to each vertex and edge real number as its weight so that for any uv , Σ e ∈ E ( v ) φ( )+φ( ≠ u ). k,k ')-list assignment L set k permissible weights ' weights. An -total with z V ∪ called ')-choosable if every there exists weighting. As strenghtening the well-known 1-2-3 conjecture, it was conjectured in [Wong Zhu, Total choosability graphs, J. Graph Theory 66 (2011), 198-212] without isolated (1,3)-choosable. It easy verified this conjecture trees, however, prove wheels seemed be quite non-trivial. In paper, we develop some tools techniques enable us generalized Halin graphs.
منابع مشابه
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ژورنال
عنوان ژورنال: EJGTA : Electronic Journal of Graph Theory and Applications
سال: 2021
ISSN: ['2338-2287']
DOI: https://doi.org/10.5614/ejgta.2021.9.1.2