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most citedM-Polynomial of Product Graphs

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math.CO20261 cited

M-Polynomial of Product Graphs

El-Mehdi Mehiri, Sandi Klavžar

The M-polynomial provides a unifying framework for a wide class of degree-based topological indices. Despite its structural importance, general methods for computing the M-polynomi…

math.CO2025

On the variety of general position problems under vertex and edge removal

Jing Tian, Pakanun Dokyeesun, Sandi Klavžar

Let , , and be the total, the outer, and the dual general position number of a graph , respectively. This paper i…

math.CO2025

On the weak -metric dimension of Hamming graphs

Elena Fernandez, Sandi Klavzar, Dorota Kuziak +2

Given a connected graph , a set of vertices is a weak -resolving set of if for each two vertices , the sum of the values $|d_G(y,x)-d_G(z,x)|…

math.CO2025

Enumerating the number of -matchings in successively amalgamated graphs

Simon Grad, Sandi Klavžar

In this paper, the transfer matrix technique using the -matching vector is developed to compute the number of -matchings in an arbitrary graph which can be constructed by suc…

math.CO2025

Total -coalition: bounds, exact values and an application to double coalition

Boštjan Brešar, Sandi Klavžar, Babak Samadi

Let $G=\big{(}V(G),E(G)\big{)}$ be a graph with minimum degree . A subset is called a total -dominating set if every vertex in has at least neighbor…

math.CO2025

On decycling and forest numbers of Cartesian products of trees

Ali Ghalavand, Sandi Klavžar, Ning Yang

The decycling number of a graph is the minimum number of vertices that must be removed to eliminate all cycles in . The forest number is the maximum numbe…