3 papers
math.CO2023
On the super edge-magicness of graphs with a specific degree sequence
Rikio Ichishima, Francesc A. Muntaner-Batle
A graph is said to be super edge-magic if there exists a bijective function $f:V\left(G\right) \cup E\left(G\right)\rightarrow \left\{1, 2, \ldots , \left\vert V\left( G\right)…
math.CO2023
On the strength and domination number of graphs
Yukio Takahashi, Rikio Ichishima, Francesc A. Muntaner-Batle
A numbering of a graph of order is a labeling that assigns distinct elements of the set to the vertices of . The strength $\textrm{s…
math.CO2023
Non-isomorphic graphs with common degree sequences
Rikio Ichishima, Francesc A. Muntaner-Batle
For all positive even integers , graphs of order with degree sequence \begin{equation*} S_{n}:1,2,\dots,n/2,n/2,n/2+1,n/2+2,\dots,n-1 \end{equation*} naturally arose in the…