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DC Field | Value | Language |
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dc.contributor.author | Hegde, S.M. | - |
dc.contributor.author | Shetty, S. | - |
dc.date.accessioned | 2020-03-31T08:39:03Z | - |
dc.date.available | 2020-03-31T08:39:03Z | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | Indian Journal of Pure and Applied Mathematics, 2002, Vol.33, 8, pp.1275-1283 | en_US |
dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/12350 | - |
dc.description.abstract | A (p, q)-graph G = (V, E) is said to be (k, d)-arithmetic, where k and d are positive integers if its p vertices admits a labeling of distinct non-negative integers such that the values of the edges obtained as the sums of the labels of their end vertices form the set {k, k + d, k + 2d, ..., k + (q - 1)d}. In this paper we prove that for all odd n, the generalized web graph W (t, n) and some cycle related graphs are (k, d)-arithmetic. Also we prove that a class of trees called Tp-trees and subdivision of Tp-trees are (k + q - 1) (d, d)-arithmetic for all positive integers k and d. | en_US |
dc.title | On arithmetic graphs | en_US |
dc.type | Article | en_US |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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11 On Arithmetic Graphs.pdf | 425.25 kB | Adobe PDF | View/Open |
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