4 papers
The Pentagon Graph Operator
Severino V. Gervacio, Hiroshi Maehara, Phoebe Chloe Ramos
For a graph , let denote the graph whose vertices are the induced -cycles of , where two vertices are adjacent whenever the corresponding cycles share a…
On identity Seidel switches
Severino V. Gervacio
Seidel switching is a classical operation on graphs which plays a central role in the theory of two-graphs, signed graphs, and switching classes. In this paper we focus on those sw…
A Fundamental Theorem on Graph Operators
Severino V. Gervacio
A graph operator is a function defined on some set of graphs such that whenever two graphs and are isomorphic, written , then . For a graph…
Score sequences of bitournaments
Severino V. Gervacio
The score of a vertex in an oriented graph is defined to be its outdegree, \emph{i.e.}, the number of arcs with initial vertex . The score sequence of an oriented graph is t…