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Functigraphs: An extension of permutation graphs

Andrew Chen; Daniela Ferrero; Ralucca Gera; Eunjeong Yi — 2011

Mathematica Bohemica

Let $G_{1}$ and $G_{2}$ be copies of a graph $G$ , and let $f : V (G_{1}) \to V (G_{2})$ be a function. Then a functigraph $C (G, f) = (V, E)$ is a generalization of a permutation graph, where $V = V (G_{1}) \cup V (G_{2})$ and $E = E (G_{1}) \cup E (G_{2}) \cup {u v : u \in V (G_{1}), v \in V (G_{2}), v = f (u)}$ . In this paper, we study colorability and planarity of functigraphs.

An evolutionary recursive algorithm in selecting statistical subset neural network/VDL filtering.

Chen, Andrew H.; Penm, Jack H.; Terrell, R.D. — 2006

Journal of Applied Mathematics and Decision Sciences

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