DOI10.1023/A:1016290123303zbMath0993.05059OpenAlexW28484428MaRDI QIDQ1610244
Sandi Klavžar, Andrey A. Dobrynin, Ivan Gutman, Petra Žigert Pleteršek
Publication date: 19 August 2002
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1016290123303
Some sufficient conditions for Hamiltonian property in terms of Wiener-type invariants ⋮
Partial cubes and Archimedean tilings ⋮
Infinite family of transmission irregular trees of even order ⋮
Analytical expressions for Wiener indices of \(n\)-circumscribed peri-condensed benzenoid graphs ⋮
The anti-Kekulé number of graphs ⋮
The maximum Wiener index of maximal planar graphs ⋮
The normalized Laplacians, degree-Kirchhoff index and the spanning trees of linear hexagonal chains ⋮
The expected values of Wiener indices in random polycyclic chains ⋮
A theorem on Wiener-type invariants for isometric subgraphs of hypercubes ⋮
Terminal Wiener index ⋮
A survey of the all-pairs shortest paths problem and its variants in graphs ⋮
The third and hyper-Zagreb coindices of some graph operations ⋮
Extremal graphs with respect to the vertex PI index ⋮
Wiener index of generalized odd complete graphs ⋮
Generalized Wiener indices of zigzagging pentachains ⋮
On the difference between the (revised) Szeged index and the Wiener index of cacti ⋮
Wiener index and Harary index on Hamilton-connected graphs with large minimum degree ⋮
The weighted vertex PI index of bicyclic graphs ⋮
Cacti with \(n\)-vertices and \(t\) cycles having extremal Wiener index ⋮
The PI index of phenylenes ⋮
Wiener index of graphs and their line graphs ⋮
Wiener indices of spiro and polyphenyl hexagonal chains ⋮
Graphs whose Szeged and Wiener numbers differ by 4 and 5 ⋮
On a conjecture about Wiener index in iterated line graphs of trees ⋮
Another aspect of graph invariants depending on the path metric and an application in nanoscience ⋮
Wiener polarity index of dendrimers ⋮
Relation between Wiener numbers of quasi-hexagonal chains and quasi-polyomino chains ⋮
The Graovac-Pisanski index of Sierpiński graphs ⋮
Distribution of some graph invariants over hierarchical product of graphs ⋮
Computing quadratic entropy in evolutionary trees ⋮
Wiener index of iterated line graphs of trees homeomorphic to \(H\) ⋮
The energy of directed hexagonal systems ⋮
The hexagonal chains with the first three maximal Mostar indices ⋮
On the differences between Szeged and Wiener indices of graphs ⋮
On Harary index of graphs ⋮
Wiener index in weighted graphs via unification of \(\varTheta^\ast\)-classes ⋮
Improved bounds on the difference between the Szeged index and the Wiener index of graphs ⋮
On the sum of all distances in bipartite graphs ⋮
Complete solution of equation \(W(L^3(T))=W(T)\) for the Wiener index of iterated line graphs of trees ⋮
The PI index of product graphs ⋮
The \((n,n)\)-graphs with the first three extremal Wiener indices ⋮
Infinite family of 3-connected cubic transmission irregular graphs ⋮
The Kirchhoff indices and the matching numbers of unicyclic graphs ⋮
Further results regarding the sum of domination number and average eccentricity ⋮
The unicyclic graphs with maximum degree resistance distance ⋮
Explicit relation between the Wiener index and the edge-Wiener index of the catacondensed hexagonal systems ⋮
Distance-based topological indices of the tree-like polyphenyl systems ⋮
Integral trees with diameter four ⋮
Vertex and edge PI indices of Cartesian product graphs ⋮
Ordering trees with given matching number by their Wiener indices ⋮
Hosoya polynomials under gated amalgamations ⋮
None of the coronoid systems can be isometrically embedded into a hypercube ⋮
On quartic transmission irregular graphs ⋮
A matrix method for computing Szeged and vertex PI indices of join and composition of graphs ⋮
On graphs whose Wiener complexity equals their order and on Wiener index of asymmetric graphs ⋮
Reciprocal complementary Wiener numbers of trees, unicyclic graphs and bicyclic graphs ⋮
Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers ⋮
On the eccentric distance sum of graphs ⋮
Infinite family of 2-connected transmission irregular graphs ⋮
Variation of the Wiener index under tree transformations ⋮
On the Wiener index of graphs ⋮
Computation of topological indices of some graphs ⋮
Szeged index, edge Szeged index, and semi-star trees ⋮
An exact expression for the Wiener index of a \(TUC_{4}C_{8}(R)\) nanotorus ⋮
Calculating the edge Wiener and edge Szeged indices of graphs ⋮
A fully benzenoid system has a unique maximum cardinality resonant set ⋮
The Wiener index in iterated line graphs ⋮
Hyper- and reverse-Wiener indices of F-sums of graphs ⋮
On sufficient topological indices conditions for properties of graphs ⋮
Metric properties of generalized Sierpiński graphs over stars ⋮
Calculating the normalized Laplacian spectrum and the number of spanning trees of linear pentagonal chains ⋮
The Harary index of ordinary and generalized quasi-tree graphs ⋮
Stepwise transmission irregular graphs ⋮
New distance-based graph invariants and relations among them ⋮
Enumeration of Wiener indices in random polygonal chains ⋮
The hyper-Wiener index of graph operations ⋮
On the extremal graphs with respect to the total reciprocal edge-eccentricity ⋮
The Wiener index of hypergraphs ⋮
Wiener index of a fuzzy graph and application to illegal immigration networks ⋮
On the relation between Wiener index and eccentricity of a graph ⋮
Wiener index of Eulerian graphs ⋮
The normalized Laplacians, degree-Kirchhoff index, and the complexity of Möbius graph of linear octagonal-quadrilateral networks ⋮
Comparison of the Wiener and Kirchhoff indices of random pentachains ⋮
The Kirchhoff index and spanning trees of Möbius/cylinder octagonal chain ⋮
Wiener, edge-Wiener, and vertex-edge-Wiener index of Basilica graphs ⋮
Szeged index of \(TUC_4C_8(S)\) nanotubes ⋮
The edge-Wiener index of a graph ⋮
On the reverse Wiener indices of unicyclic graphs ⋮
The first and second Zagreb indices of some graph operations ⋮
Trees with the seven smallest and eight greatest Harary indices ⋮
Wiener index of certain families of hexagonal chains ⋮
Analyzing lattice networks through substructures ⋮
The study of an infinite class of dendrimer nanostars by topological index approaches ⋮
The symmetry-moderated Wiener index of truncation graph, thorn graph and caterpillars ⋮
Wiener index of subdivisions of a tree ⋮
On the edge-Szeged index of unicyclic graphs with given diameter ⋮
Equal opportunity networks, distance-balanced graphs, and Wiener game ⋮
The degree resistance distance of cacti ⋮
On the Wiener index of generalized Fibonacci cubes and Lucas cubes ⋮
The maximum hyper-Wiener index of cacti
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