The adjacent vertex distinguishing total chromatic numbers of planar graphs with $$\Delta =10$$Δ=10
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DOI: 10.1007/s10878-016-9995-x
Abstract: A (proper) total-k-coloring of a graph G is a mapping $$\phi : V (G) \cup E(G)\mapsto \{1, 2, \ldots , k\}$$ϕ:V(G)∪E(G)↦{1,2,…,k} such that any two adjacent elements in $$V (G) \cup E(G)$$V(G)∪E(G) receive different colors.… read more here.
Keywords: vertex distinguishing; distinguishing total; adjacent vertex; delta ... See more keywords
Adjacent Vertex Distinguishing Edge Coloring of Planar Graphs Without 4-Cycles
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DOI: 10.1007/s40840-019-00860-3
Abstract: The adjacent vertex distinguishing edge coloring of a graph G is a proper edge coloring of G such that the edge coloring set on any pair of adjacent vertices is distinct. The minimum number of… read more here.
Keywords: vertex distinguishing; adjacent vertex; edge; edge coloring ... See more keywords