The vertex PI index and Szeged index of bridge graphs

DOI10.1016/j.dam.2008.09.008zbMath1182.92073OpenAlexW2005626338MaRDI QIDQ1028135

Matthias Schork, Toufik Mansour

Publication date: 30 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.09.008

zbMATH Keywords

Szeged indexgraph invariantvertex PI index

Mathematics Subject Classification ID

Applications of graph theory (05C90) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (26)

Correction of the paper ``Bicyclic graphs with extremal values of PI index ⋮ Extremal graphs with respect to the vertex PI index ⋮ A new geometric-arithmetic index ⋮ On weighted PI index of graphs ⋮ The weighted vertex PI index of bicyclic graphs ⋮ The bipartite edge frustration of composite graphs ⋮ On the revised Szeged index ⋮ Unnamed Item ⋮ The weighted vertex PI index of tricyclic graphs ⋮ Degree Distance in Graphs with Forbidden Subgraphs ⋮ On the differences between Szeged and Wiener indices of graphs ⋮ Vertex PI indices of four sums of graphs ⋮ Cluj Polynomial in Nanostructures ⋮ Geometrical and Topological Dimensions of the Diamond ⋮ Study of the Bipartite Edge Frustration of Graphs ⋮ The Hosoya Index and the Merrifield–Simmons Index of Some Nanostructures ⋮ Applications of the generalized hierarchical product of graphs in computing the vertex and edge PI indices of chemical graphs ⋮ On the Graovac-Ghorbani index of graphs ⋮ On the geometric-arithmetic index by decompositions -- CMMSE ⋮ On the edge Szeged index of bridge graphs ⋮ Computation of topological indices of some graphs ⋮ Szeged index, edge Szeged index, and semi-star trees ⋮ The weighted vertex PI index of \((n,m)\)-graphs with given diameter ⋮ A Note on Revised Szeged Index of Graph Operations ⋮ Bounds on the weighted vertex PI index of cacti graphs ⋮ Calculating PI Related Indices and Its Polynomial of Hyaluronic Acid and Conjugates

Cites Work

• The PI index of phenylenes
• The PI index of product graphs
• PI indices of pericondensed benzenoid graphs
• Vertex and edge PI indices of Cartesian product graphs
• A matrix method for computing Szeged and vertex PI indices of join and composition of graphs
• The Szeged and the Wiener index of graphs
• Relationships and relative correlation potential of the Wiener, Szeged and PI indices
• A method of computing the PI index of benzenoid hydrocarbons using orthogonal cuts
• Topological estimation of aromatic stabilities of polyacenes and helicenes: modeling of resonance energy and benzene character
• Wiener index of trees: Theory and applications
• Novel PI indices of hexagonal chains
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