by admin | Dec 31, 2025
ABSTRACT. An injective function \( f : V(G) \to \{L_1, L_2, \ldots, L_n\} \), where \( L_j \) is the \( j^{\text{th}} \) Lucas number \( (j=1,2,\ldots,n) \), is said to be a Lucas cordial labeling if the induced function \( f^{*} : E(G) \to \{0,1\} \) defined by \(...
by admin | Dec 31, 2025
ABSTRACT. A dominating set \( S \) in \( G \) is called a pendant dominating set if \( \langle S \rangle \) contains at least one pendant vertex. The minimum cardinality of a pendant dominating set is called the pendant domination number, denoted by \( \gamma_{pe}(G)...
by admin | Dec 31, 2025
ABSTRACT. This article is devoted to five distinct integral inequalities of the Hardy-Hilbert type, each possessing its own originality. In particular, we highlight new trigonometric variants that yield sharp upper bounds involving weighted integral norms of the...
