Results 71 to 80 of about 1,962 (215)
Ordering graphs with large eccentricity-based topological indices
For a connected graph, the first Zagreb eccentricity index ξ 1 $\xi _{1}$ is defined as the sum of the squares of the eccentricities of all vertices, and the second Zagreb eccentricity index ξ 2 $\xi _{2}$ is defined as the sum of the products of the ...
Yunfang Tang, Xuli Qi
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Cuproptosis Inducers in Cancer Therapy: State of the Art and Challenges
Cuproptosis is emerging as a distinct copper‐dependent cell death pathway, highlighting copper as a potential metabolic vulnerability in cancer. This review examines how coordination chemistry, redox regulation, and nanomaterial design shape Cu reactivity and therapeutic outcomes.
Chiara Ragusa, Valentina Oliveri
wiley +1 more source
The inertia of unicyclic graphs and bicyclic graphs
Let G be a graph with n vertices and (G) be the matching number of G. The inertia of a graph G, In(G) = (n+;n ;n0) is an integer triple specifying the numbers of positive, negative and zero eigenvalues of the adjacency matrix A(G), respectively. Let (G) = n0 denote the nullity of G (the multiplicity of the eigenvalue zero of G).
openaire +1 more source
ABSTRACT Background E‐scooters have become a popular, low‐cost mode of urban transport worldwide, with rideshare programmes increasing public access. However, safety concerns are growing, with many studies describing injury patterns and healthcare burden. This study evaluated the impact of the suspension of rideshare e‐scooters on emergency department (
Joshua Briotti +5 more
wiley +1 more source
On The Determinant of q-Distance Matrix of a Graph
In this note, we show how the determinant of the q-distance matrix Dq(T) of a weighted directed graph G can be expressed in terms of the corresponding determinants for the blocks of G, and thus generalize the results obtained by Graham et al.
Li Hong-Hai, Su Li, Zhang Jing
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Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
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Extremal unicyclic and bicyclic graphs with respect to the -index
In the study of structure-dependency of the total -electron energy in 1972, it was shown that this energy depends on the degree based sum and , where is the degree of a vertex of under consideration molecular graph .
Shehnaz Akhter +2 more
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UrbanClipAtlas: A Visual Analytics Framework for Event and Scene Retrieval in Urban Videos
Abstract Extracting actionable insights from long‐duration urban videos is often labor‐intensive: analysts must manually sift through raw footage to pinpoint target events or uncover broader behavioral trends. In this work, we present UrbanClipAtlas, a visual analytics system for exploring long urban videos recorded at street intersections ...
Joel Perca +5 more
wiley +1 more source
On Sombor index and graph energy of some chemically important graphs
Sombor index of a graph G=(V(G),E(G)) is provided by the expression ∑uv∈E(G)du2+dv2, where dx is the degree of the vertex x∈V(G). The energy of a graph is the quantity given by the total of the absolute values of its adjacency matrix’s eigenvalues.
Md Selim Reja, Sk. Md. Abu Nayeem
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The Hosoya index and the Merrifield-Simmons index of some graphs [PDF]
The Hosoya index and the Merrifield-Simmons index are two types of graph invariants used in mathematical chemistry. In this paper, we give some formulas for computed these indices for some classes of corona product and link of two graphs. Furthermore, we
Samaneh Hossein-Zadeh +3 more
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