Sombor index: review of extremal results and bounds
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Publication:2143457
DOI10.1007/s10910-022-01333-yzbMath1492.92156OpenAlexW4220940703MaRDI QIDQ2143457
Hechao Liu, Ivan Gutman, Yufei Huang, Lihua You
Publication date: 31 May 2022
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-022-01333-y
Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)
Related Items (25)
Multiplicative Sombor Index of Graphs ⋮ On a Conjecture Regarding the Exponential Reduced Sombor Index of Chemical Trees ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ On bond incident degree index of chemical trees with a fixed order and a fixed number of leaves ⋮ Extremal Values of the Sombor Index in Tricyclic Graphs ⋮ An alternative proof of the Sombor index minimizing property of greedy trees ⋮ The statistical analysis for Sombor indices in a random polygonal chain networks ⋮ On Sombor Indices of Tricyclic Graphs ⋮ Proof of an open problem on the Sombor index ⋮ Sombor Index of c-Cyclic Chemical Graphs ⋮ Solutions to Some Open Problems About Four Sombor–Index–Like Graph Invariants ⋮ A Note on an Inequality Between Energy and Sombor Index of a Graph ⋮ Sombor Index of Hypergraphs ⋮ Note on the Minimum Bond Incident Degree Indices of k-Cyclic Graphs ⋮ Maximum values of sombor index of bicyclic graphs with a given matching number ⋮ Note on Sombor index of connected graphs with given degree sequence ⋮ Sombor index and eigenvalues of comaximal graphs of commutative rings ⋮ Unnamed Item ⋮ On graphs with integer Sombor index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quasi-tree graphs with the minimal Sombor indices
Uses Software
Cites Work
- On ordinary generalized geometric-arithmetic index
- Degree-based energies of graphs
- Extremal values of the Sombor index in unicyclic and bicyclic graphs
- Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
- Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices
- Degree-based energies of trees
- General properties on Sombor indices
- On the extremal sombor index of trees with a given diameter
- A relation between a vertex-degree-based topological index and its energy
- On Sombor index of trees with fixed domination number
- On relations between Sombor and other degree-based indices
- Sombor index of chemical graphs
- Sombor index of trees with at most three branch vertices
- The expected values and variances for Sombor indices in a general random chain
- On Sombor index of trees
- A forgotten topological index
- Sombor index and degree-related properties of simplicial networks
- Bounds of modified Sombor index, spectral radius and energy
- Relations between Sombor Index and some Degree-Based Topological Indices
- On the Sombor index of chemical trees
- Sombor Index of Polymers
- On the Graphs with Minimum Sombor Index
- Extremal Sombor Indices of Tetracyclic (Chemical) Graphs
- Mean Sombor Index
- Relating graph energy and Sombor index
- Non-semiregular bipartite graphs with integer Sombor index
- On the structure of graphs with integer Sombor indices
- The Sombor Index of Trees and Unicyclic Graphs with Given Maximum Degree
- Ordering chemical graphs by Sombor indices and its applications
- Extremal values on the Sombor index of trees
- The energy and Sombor index of graphs
- Spectral properties of p-Sombor matrices and beyond
- Comparing Energy and Sombor Energy - An Empirical Study
- Reduced Sombor index of bicyclic graphs
- Extremal cacti with respect to Sombor index
- Sombor index of certain graphs
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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