Abstract
In Chap. 2 and 3, we described two edge colorings that give rise to two vertex colorings, one in terms of sets of colors and the other in terms of multisets. Now, in this chapter and the next, the situation is reversed, as we describe vertex colorings that give rise to edge colorings.
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References
Bi, Z., Byers, A., English, S., Laforge, E., Zhang, P.: Graceful colorings of graphs. J. Combin. Math. Combin. Comput. (to appear)
Bi, Z., Byers, A., Zhang, P.: Revisiting graceful labelings of graphs. J. Combin. Math. Combin. Comput. (to appear)
Brooks, R.L.: On coloring the nodes of a network. Proc. Camb. Philol. Soc. 37, 194–197 (1941)
English, S., Zhang, P.: On graceful colorings of trees. Preprint
Gallian, J.A.: A dynamic survey of graph labeling. Electron. J. Combin. 17, #DS6 (2014)
Golomb, S.W.: How to number a graph. In: Graph Theory and Computing, pp. 23–37. Academic Press, New York (1972)
Rosa, A.: On certain valuations of the vertices of a graph. In: Theory of Graphs, pp. 349–355. Gordon and Breach, New York (1967)
Vizing, V.G.: On an estimate of the chromatic class of a p-graph (Russian). Diskret. Analiz. 3, 25–30 (1964)
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Zhang, P. (2016). Graceful Vertex Colorings. In: A Kaleidoscopic View of Graph Colorings. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-30518-9_4
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DOI: https://doi.org/10.1007/978-3-319-30518-9_4
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