Browsing by Author "Mmasi, Eliud"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Binding Number Bounds of Zero Divisor Graphs of Classes of Completely Primary Finite Rings
    (African Scientific Annual Review, 2024-07-07) Mmasi, Eliud; Ojiema, Michael Onyango; Marani, Vincent Nyongesa
    The binding number of a graph is an important graph parameter which measures the distribution of the size of the graph and its related properties including toughness, rapture degree, scattering number and its integrity. For complete graphs G ≃ Kn obtained from commutative finite ring, some results exist on the bounds of binding numbers. In this paper, we consider an incomplete but connected zero divisor graph Γ(R) associated with a class of completely primary finite ring R and use standard procedures to compute the binding number bounds, the average binding number and related graph parameters.
  • No Thumbnail Available
    Item
    Graph Numbers and Distance Related Parameters of Zero Divisor Graphs
    (Science Mundi, 2024-08-06) Mmasi, Eliud; Ojiema, Michael Onyango; Marani, Vincent Nyongesa
    Distance-related parameters have applications in the field of pharmaceutical chemistry, network discovery, robot navigation, and optimizations. Cyclic structures exhibit significant topological features that have become important research areas in the field of computer science and mathematics. Due to the inherent algebraic relationship between graph numbers and distance related parameters, this paper characterizes variants of distance related parameters and graph numbers associated with the zero divisor graphs akin to cyclic structures obtained from classes of completely primary finite rings. In particular, we investigate the local fractional metric dimension and provide certain results concerning graph indices namely the Weiner index and the Zagreb index.