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math.CO2019★ 6 cited
A lower bound for the radio number of graphs
Devsi Bantva
A radio labeling of a graph is a mapping $\vp : V(G) \rightarrow \{0, 1, 2,...\}$ such that $|\vp(u)-\vp(v)|\geq \diam(G) + 1 - d(u,v)$ for every pair of distinct vertices $u,v…
math.CO2019
Hamiltonian chromatic number of block graphs
Devsi Bantva
Let be a simple connected graph of order . A hamiltonian coloring of a graph is an assignment of colors (non-negative integers) to the vertices of such that $D(u…