by admin | Mar 4, 2026
Abstract: An injective function \( f : V(G) \rightarrow \{L_1, L_2, \ldots, L_n\} \), where \( L_i \) is the \( i \)th Lucas number, is called a Lucas product cordial labeling if the induced function satisfies \( |e_f^*(0) – e_f^*(1)| \leq 1 \). A graph which...
by admin | Mar 4, 2026
Abstract: Hop domination was introduced as a distance-two analogue of domination and has been studied extensively in recent years. A secure hop dominating set, recently introduced, models a single adversarial attack at an unoccupied vertex (a vertex not in the current...
by admin | Feb 21, 2026
Abstract: Let \( W_M \) be the wheel graph on \( M \geq 4 \) vertices and let \( \overline{K_n} \) be the independent graph on \( n \geq 1 \) vertices. We study the corona product \( W_M \circ K_n \) and obtain an explicit formula for its pendant domination...
by admin | Feb 21, 2026
Abstract: Let \( G \) be a graph. An Edouard Product Cordial Labeling (EPCL) of a graph \( G \) with \( |V(G)| = n \) is an injective function \( f : V(G) \rightarrow \{E_0, E_1, E_2, \ldots, E_{n-1}\} \) where \( E_i \) is the \( i \)th Edouard number \( (i =...
by admin | Feb 21, 2026
ABSTRACT. In this paper, we analyze a vector-host epidemic model with a piecewise-smooth treatment rate. The use of piecewise-smooth treatment depicts the limited medical resource situation in the community. The treatment increases linearly with infective population...
