Results 31 to 40 of about 157 (120)
Contraharmonic Index: Extremal Results for Unicyclic Graphs and Bounds for General Graphs
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let G be a graph with edge set E(G). The degree of a vertex w in G is denoted by dw. The contraharmonic index of G is defined as CHG=∑uv∈EGdu+dv−1du2+dv2. In this paper, we investigate several properties of the contraharmonic index, including extremal results for unicyclic graphs of a given order, as well as bounds and the effects of an edge removal in
Abdulaziz Mutlaq Alotaibi +2 more
wiley +1 more source
A Note on the Interval Function of a Disconnected Graph
Discussiones Mathematicae Graph Theory, 2018 In this note we extend the Mulder-Nebeský characterization of the interval function of a connected graph to the disconnected case. One axiom needs to be adapted, but also a new axiom is needed in addition.
Changat Manoj +3 more
doaj +1 more source
Further generalization of symmetric multiplicity theory to the geometric case over a field
Special Matrices, 2021 Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric ...
Cinzori Isaac +3 more
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency +10 more
wiley +1 more source
Generalized 4-connectivity of hierarchical star networks
Open Mathematics, 2022 The connectivity is an important measurement for the fault-tolerance of a network. The generalized connectivity is a natural generalization of the classical connectivity. An SS-tree of a connected graph GG is a tree T=(V′,E′)T=\left(V^{\prime} ,E^{\prime}
Wang Junzhen, Zou Jinyu, Zhang Shumin
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 6, Page 825-837, December 2025.Background: Inhibition of the Janus kinase pathway is an established treatment for allergic dermatitis. Objective: To evaluate the efficacy and safety of ilunocitinib for control of pruritus in dogs with allergic dermatitis in a randomised, double‐masked clinical trial.
Sophie Forster +5 more
wiley +1 more source
Domination Subdivision and Domination Multisubdivision Numbers of Graphs
Discussiones Mathematicae Graph Theory, 2019 The domination subdivision number sd(G) of a graph G is the minimum number of edges that must be subdivided (where an edge can be subdivided at most once) in order to increase the domination number of G. It has been shown [10] that sd(T) ≤ 3 for any tree
Dettlaff Magda +2 more
doaj +1 more source
Equating κ Maximum Degrees in Graphs without Short Cycles
Discussiones Mathematicae Graph Theory, 2020 For an integer k at least 2, and a graph G, let fk(G) be the minimum cardinality of a set X of vertices of G such that G − X has either k vertices of maximum degree or order less than k.
Fürst Maximilian +4 more
doaj +1 more source
The structure fault tolerance of burnt pancake networks
Open Mathematics, 2023 One of the symbolic parameters to measure the fault tolerance of a network is its connectivity. The HH-structure connectivity and HH-substructure connectivity extend the classical connectivity and are more practical.
Ge Huifen, Ye Chengfu, Zhang Shumin
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 5, Page 647-659, October 2025.Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster +5 more
wiley +1 more source