Neighbor Sum Distinguishing Total Chromatic Number of Planar Graphs without 5-Cycles
For a given graph G = (V (G), E(G)), a proper total coloring ϕ: V (G) ∪ E(G) → {1, 2, . . . , k} is neighbor sum distinguishing if f(u) ≠ f(v) for each edge uv ∈ E(G), where f(v) = Σuv∈E(G) ϕ(uv)+ϕ(v), v ∈ V (G). The smallest integer k in such a coloring of G is the neighbor sum distinguishing total...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-02-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2122 |