Please use this identifier to cite or link to this item: http://digitalrepository.fccollege.edu.pk/handle/123456789/1505
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dc.contributor.authorMalik, Shabnam-
dc.date.accessioned2022-04-21T06:34:10Z-
dc.date.available2022-04-21T06:34:10Z-
dc.date.issued2020-
dc.identifier.issn2202-3518-
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/1505-
dc.description.abstractA square matrix of order n is called a Toeplitz matrix if it has constant val- ues along all diagonals parallel to the main diagonal. A directed Toeplitz graph Tn⟨s1; : : : ; sk; t1; : : : ; tl⟩ with vertices 1; 2; : : : ; n, where the edge (i; j) occurs if and only if j − i = sp or i − j = tq for some 1 ≤ p ≤ k and 1 ≤ q ≤ l, is a digraph whose adjacency matrix is a Toeplitz matrix. In this paper, we study hamiltonicity in directed Toeplitz graphs Tn⟨1; 3; 1; t⟩. We obtain new results and improve existing results on Tn⟨1; 3; 1; t⟩.en_US
dc.language.isoen_USen_US
dc.publisherAUSTRALASIAN JOURNAL OF COMBINATORICSen_US
dc.subjectAdjacency matrix; Toeplitz graph; Hamiltonian graph, length of an edgeen_US
dc.titleHamiltonicity in directed Toeplitz graphs Tn1, 2;t1, t2en_US
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