10 papers
Hockey-Stick Domination and Distributional Comparison on Finite Posets
Arturo Jaramillo, Saylé Sigarreta
We develop a framework for comparing probability measures on finite posets via hockey-stick domination, an order relation defined through interval-counting test functions. The theo…
Extremal degree-based indices of general polyomino chains via dynamic programming
Manuel Montes-y-Morales, Sayle Sigarreta, Hugo Cruz-Suarez
In this paper, we develop a dynamic programming framework for identifying extremal general polyomino chains with respect to degree-based topological indices. As a concrete applicat…
Maximum augmented Zagreb index on polyomino chains
Manuel Montes-y-Morales, Saylé Sigarreta, Hugo Cruz-Suárez
In this paper, we present a dynamic programming approach for identifying extremal polyomino chains with respect to degree-based topological indices. This approach provides an expli…
Third Order Cumulants of products
Octavio Arizmendi, Daniel Munoz George, Saylé Sigarreta
We provide a formula for the third order free cumulants of products as entries. We apply this formula to find the third order free cumulants of various Random Matrix Ensambles incl…
Zagreb Connection indices on polyomino chains and random polyomino chains
Sayle Sigarreta, Hugo Cruz-Suarez
In this manuscript, we delve into the exploration of the first and second Zagreb connection indices of both polyomino chains and random polyomino chains. Our methodology relies on…
Limit theorems for Randic index for Erdős-Renyi graphs
Laura Eslava, Sayle Sigarreta, Arno Siri-Jegousse
We prove that the generalized Randic index over graphs following the Erdős-Renyi model, for both the sparse and dense regimes, is concentrated around its mean when the number of ve…
The change of vertex energy when joining trees
Octavio Arizmendi, Saylé Sigarreta
In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: t…
Topological indices in Random Spiro Chains
Sayle Sigarreta, Sayli Sigarreta, Hugo Cruz-Suarez
In this paper, we study topological indices in random spiro chains via a martingale approach. In which their explicit analytical expressions of the exact distribution, expected val…
Degree Based Topological Indices of a General Random Chain
Sayle Sigarreta, Hugo Cruz-Suarez, Sergio Torralbas Fitz
In this paper, we examine a specific type of random chains and propose an unified approach to studying the degree-based topological indices, including their extreme values. We deri…
Probabilistic Methods in the Study of Topological Indices on Random Spider Trees
Saylé C. Sigarreta, Saylí M. Sigarreta, Hugo Cruz-Suárez
In this paper, we characterize the structure and topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalize…