Results 1 to 10 of about 795,931 (124)
Graph pebbling number and model [PDF]
There are many topics in graph theory that can be called ``moving objects around a graph". For example; In network optimization, shipments are transferred from some vertices (resources) to other vertices (demand) according to the costs allocated to the ...
Fatemeh Aghaei Meybodi, Saeed Alikhani
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Relating graph energy with vertex-degree-based energies [PDF]
Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants.
Ivan Gutman
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Note on the temperature Sombor index
Introduction/purpose: The temperature of a vertex of a graph of the order n is defined as d/(n-d), where d is the vertex degree. The temperature variant of the Sombor index is investigated and several of its properties established. Methods: Combinatorial
Ivan Gutman
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New Concepts of Vertex Covering in Cubic Graphs with Its Applications
Graphs serve as one of the main tools for the mathematical modeling of various human problems. Fuzzy graphs have the ability to solve uncertain and ambiguous problems.
Huiqin Jiang+4 more
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An Improved Algorithm for Identification of Dominating Vertex Set in Intuitionistic Fuzzy Graphs
In graph theory, a “dominating vertex set” is a subset of vertices in a graph such that every vertex in the graph is either a member of the subset or adjacent to a member of the subset.
Nazia Nazir+3 more
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On the spectral radius of VDB graph matrices
Introduction/purpose: Vertex-degree-based (VDB) graph matrices form a special class of matrices, corresponding to the currently much investigated vertex-degree-based (VDB) graph invariants. Some spectral properties of these matrices are investigated.
Ivan Gutman
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Some topological indices of pentagonal double chains [PDF]
In graph theory, lattices are used when some structural part of the graph repeats itself finitely or infinitely many times. They have applications in complex analysis and geometry in mathematics, and also natural applications in chemical graph theory. As
Mahalank Pushpalatha+4 more
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Strong parity vertex coloring of plane graphs [PDF]
A strong parity vertex coloring of a 2-connected plane graph is a coloring of the vertices such that every face is incident with zero or an odd number of vertices of each color.
Tomas Kaiser+3 more
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Removing Symmetry in Circulant Graphs and Point-Block Incidence Graphs
An automorphism of a graph is a mapping of the vertices onto themselves such that connections between respective edges are preserved. A vertex v in a graph G is fixed if it is mapped to itself under every automorphism of G. The fixing number of a graph G
Josephine Brooks+5 more
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Computation of Resolvability Parameters for Benzenoid Hammer Graph
A representation of each vertex of a network into distance-based arbitrary tuple form, adding the condition of uniqueness of each vertex with reference to some settled vertices. Such settled vertices form a set known as resolving set.
Ali Ahmad, Al-Nashri Al-Hossain Ahmad
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