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GENERALIZED SCHULTZ INDEX AND ITS EDGE VERSIONS

Omid Khormali, Ali Iranmanesh

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Abstract

The Wiener index and Schultz index are two important topological indices. Edge versions of Wiener index was recently introduced by Iranmanesh et al. In this paper, we put forward the generalized Schultz index and also introduce the edge versions of Schultz index. In addition, we establish a relation between first-order edge-Schultz indices and edge versions of Wiener indices of trees. We obtain lower and upper bounds for the first-order edge-Schultz indices in terms of edge-Wiener indices for hexagonal chains.

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What this paper is about

The Wiener index and Schultz index are two important topological indices. Edge versions of Wiener index was recently introduced by Iranmanesh et al. In this paper, we put forward the generalized Schultz index and also introduce the edge versions of Schultz index. In addition, we establish a relation between first-order edge-Schultz indices and edge versions of Wiener indices of trees. We obtain lower and upper bounds for the first-order edge-Schultz indices in terms of edge-Wiener indices for hexagonal chains.

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Available abstract

The Wiener index and Schultz index are two important topological indices. Edge versions of Wiener index was recently introduced by Iranmanesh et al. In this paper, we put forward the generalized Schultz index and also introduce the edge versions of Schultz index. In addition, we establish a relation between first-order edge-Schultz indices and edge versions of Wiener indices of trees. We obtain lower and upper bounds for the first-order edge-Schultz indices in terms of edge-Wiener indices for hexagonal chains.

Key concepts: Wiener index, Enhanced Data Rates for GSM Evolution, Index (typography), Mathematics, Topological index, Relation (database), Combinatorics, Computer science

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