On the Vertex In-Degrees of Certain Jaco-Type Graphs

Abstract : The concepts of linear Jaco graphs and Jaco-type graphs have been introduced as certain types of directed graphs with specifically defined adjacency conditions. The distinct difference between a pure Jaco graph and a Jaco-type graph is that for a pure Jaco graph, the total vertex degree d(v) is well-defined, while for a Jaco-type graph the vertex out-degree d + (v) is well-defined. Hence, in the case of pure Jaco graphs a challenge is to determine d − (v) and d + (v) respectively and for Jaco-type graphs a challenge is to determine d − (v). In this paper, the vertex in-degrees for Fibonaccian and modular Jaco-type graphs are determined.
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Johan Kok, Sudev Naduvath, K Chithra, K. Germina, U Mary. On the Vertex In-Degrees of Certain Jaco-Type Graphs. Southeast Asian Bulletin of Mathematics, Springer Verlag, 2019, 43 (1), pp.67-78. ⟨hal-02263291⟩

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