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DC Field | Value | Language |
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dc.contributor.author | Malik, Shabnam | - |
dc.date.accessioned | 2022-04-21T06:34:10Z | - |
dc.date.available | 2022-04-21T06:34:10Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 2202-3518 | - |
dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/1505 | - |
dc.description.abstract | A 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.iso | en_US | en_US |
dc.publisher | AUSTRALASIAN JOURNAL OF COMBINATORICS | en_US |
dc.subject | Adjacency matrix; Toeplitz graph; Hamiltonian graph, length of an edge | en_US |
dc.title | Hamiltonicity in directed Toeplitz graphs Tn1, 2;t1, t2 | en_US |
Appears in Collections: | Mathematics Department |
Files in This Item:
File | Description | Size | Format | |
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1-Bull. Math. Soc. Sci. Math. Roumanie (to appear in 2023).pdf | 224.96 kB | Adobe PDF | View/Open |
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