Results 31 to 40 of about 187 (132)

Cramér-rao bounds for synchronization of rotations [PDF]

open access: yes, 2012
Synchronization of rotations is the problem of estimating a set of rotations Ri ∈ SO(n), i = 1... N based on noisy measurements of relative rotations RiR j.
Amit Singer   +7 more
core   +1 more source

The hull number of an oriented graph

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 36, Page 2265-2275, 2003., 2003
We present characterizations of connected graphs G of order n ≥ 2 for which h+(G) = n. It is shown that for every two integers n and m with 11≤n−≤m≤(n2), there exists a connected graph G of order n and size m such that for each integer k with 2 ≤ k ≤ n, there exists an orientation of G with hull number G.
Gary Chartrand   +2 more
wiley   +1 more source

A Characterization for 2-Self-Centered Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
A graph is called 2-self-centered if its diameter and radius both equal to 2. In this paper, we begin characterizing these graphs by characterizing edge-maximal 2-self-centered graphs via their complements.
Shekarriz Mohammad Hadi   +2 more
doaj   +1 more source

Bounds on F-index of tricyclic graphs with fixed pendant vertices

open access: yesOpen Mathematics, 2020
The F-index F(G) of a graph G is obtained by the sum of cubes of the degrees of all the vertices in G. It is defined in the same paper of 1972 where the first and second Zagreb indices are introduced to study the structure-dependency of total π-electron ...
Akram Sana   +2 more
doaj   +1 more source

On Antipodal and Diametrical Partial Cubes

open access: yesDiscussiones Mathematicae Graph Theory, 2021
We prove that any diametrical partial cube of diameter at most 6 is antipodal. Because any antipodal graph is harmonic, this gives a partial answer to a question of Fukuda and Handa [Antipodal graphs and oriented matroids, Discrete Math.
Polat Norbert
doaj   +1 more source

Exploring Graph Product Operations Through Eccentricity Connectivity Coindex: A Comprehensive QSPR Analysis of Octane Isomers

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, the first eccentricity connectivity coindex is introduced as ECI¯G=∑uv∉EGε2u+ε2v, in which ε(u) denotes the eccentricity of the vertex u in the simple connected graph G. Then, the exact expressions are obtained for the first eccentricity connectivity coindex of some graph products.
Suha Wazzan   +2 more
wiley   +1 more source

On resolving edge colorings in graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 46, Page 2947-2959, 2003., 2003
We study the relationships between the resolving edge chromatic number and other graphical parameters and provide bounds for the resolving edge chromatic number of a connected graph.
Varaporn Saenpholphat, Ping Zhang
wiley   +1 more source

The Second Neighbourhood for Bipartite Tournaments

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let T (X ∪ Y, A) be a bipartite tournament with partite sets X, Y and arc set A. For any vertex x ∈ X ∪Y, the second out-neighbourhood N++(x) of x is the set of all vertices with distance 2 from x.
Li Ruijuan, Sheng Bin
doaj   +1 more source

Independence Number and Packing Coloring of Generalized Mycielski Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
For a positive integer k ⩾ 1, a graph G with vertex set V is said to be k-packing colorable if there exists a mapping f : V ↦ {1, 2, . . ., k} such that any two distinct vertices x and y with the same color f(x) = f(y) are at distance at least f(x) + 1 ...
Bidine Ez Zobair   +2 more
doaj   +1 more source

Effect of Gabapentin Administered With Prednisolone, Ciclosporin or a Placebo on Clinical Outcomes and Motor Activity in Cats With Atopic Skin Syndrome: A Prospective, Blinded, Placebo‐Controlled Study

open access: yesVeterinary 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

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