Results 31 to 40 of about 410 (178)
Incidence and Laplacian matrices of wheel graphs and their inverses
It has been an open problem to find the Moore-Penrose inverses of the incidence, Laplacian, and signless Laplacian matrices of families of graphs except trees and unicyclic graphs.
Jerad Ipsen, Sudipta Mallik
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On the Metric Index of Circulant Networks–An Algorithmic Approach
A vertex v of a graph G uniquely determines (resolves) a pair (v1, v2) of vertices of G if the distance between v and v1 is different from the distance between v and v2.
Imran Khalid +2 more
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The irregularity strength of circulant graphs
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Baril, Jean-Luc +2 more
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On Adjacency Metric Dimension of Some Families of Graph
Metric dimension of a graph is a well-studied concept. Recently, adjacency metric dimension of graph has been introduced. A set Qa⊂VG is considered to be an adjacency metric generator for G if u1,u2∈V\Qa (supposing each pair); there must exist a vertex q∈
Ali N. A. Koam +4 more
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The Existence of Selfcomplementary Circulant Graphs
The authors determine the values of \(n\) for which there exist self-complementary circulant graphs of order \(n\).
Dalibor Froncek +2 more
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Solitaire clobber on circulant graphs
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Pará, Telma +2 more
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Broader families of cordial graphs
A binary labeling of the vertices of a graph G is cordial if the number of vertices labeled 0 and the number of vertices labeled 1 differ by at most 1, and the number of edges of weight 0 and the number of edges of weight 1 differ by at most 1.
Christian Barrientos, Sarah Minion
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AbstractAn algebraic characterization is given for those Cayley graphs for cyclic groups in which the neighborhood of any vertex is a cycle. A triangular imbedding is obtained for each such graph, either in the sphere, the torus, or the Klein bottle.
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Some Invariants of Circulant Graphs [PDF]
Topological indices and polynomials are predicting properties like boiling points, fracture toughness, heat of formation, etc., of different materials, and thus save us from extra experimental burden. In this article we compute many topological indices for the family of circulant graphs.
Mobeen Munir +3 more
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The metric dimension of circulant graphs [PDF]
A pair of vertices \(x\) and \(y\) in a graph \(G\) are said to be resolved by a vertex \(w\) if the distance from \(x\) to \(w\) is not equal to the distance from \(y\) to \(w\).
Tapendra BC, Shonda Dueck
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