Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Sigarreta, Jose M."'
We investigate some topological and spectral properties of Erd\H{o}s-R\'{e}nyi (ER) random digraphs $D(n,p)$. In terms of topological properties, our primary focus lies in analyzing the number of non-isolated vertices $V_x(D)$ as well as two vertex-d
Externí odkaz:
http://arxiv.org/abs/2311.07854
Let $G=(V(G), E(G))$ be a simple graph with vertex set $V(G)$ and edge set $E(G)$. Let $S$ be a subset of $V(G)$, and let $B(S)$ be the set of neighbours of $S$ in $V(G) \setminus S$. The differential $\partial(S)$ of $S$ is the number $|B(S)|-|S|$.
Externí odkaz:
http://arxiv.org/abs/2308.02564
In this paper we propose and solve a generalization of the Bernoulli Differential Equation, by means of a generalized fractional derivative. First we prove a generalization of Gronwall's inequality, which is useful for studying the stability of syste
Externí odkaz:
http://arxiv.org/abs/2307.15755
We make use of multiplicative degree-based topological indices $X_\Pi(G)$ to perform a detailed analytical and statistical study of random networks $G=(V(G),E(G))$. We consider two classes of indices: $X_\Pi(G) = \prod_{u \in V(G)} F_V(d_u)$ and $X_\
Externí odkaz:
http://arxiv.org/abs/2306.02511
In this work we characterize the escape of orbits from the phase space of the Riemann-Liouville (RL) fractional standard map (fSM). The RL-fSM, given in action-angle variables, is derived from the equation of motion of the kicked rotor when the secon
Externí odkaz:
http://arxiv.org/abs/2302.13008
Given a simple connected non-directed graph $G=(V(G),E(G))$, we consider two families of graph invariants: $RX_\Sigma(G) = \sum_{uv \in E(G)} F(r_u,r_v)$ (which has gained interest recently) and $RX_\Pi(G) = \prod_{uv \in E(G)} F(r_u,r_v)$ (that we i
Externí odkaz:
http://arxiv.org/abs/2210.04749
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 364-374 (2024)
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this w
Externí odkaz:
https://doaj.org/article/8c9a780d65284e468df9d38b306020a6
Inequalities play an important role in pure and applied mathematics. In particular, Opial inequality plays a main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations. It has several inte
Externí odkaz:
http://arxiv.org/abs/2204.10138
We introduce a degree-based variable topological index inspired on the Stolarsky mean (known as the generalization of the logarithmic mean). We name this new index as the Stolarsky-Puebla index: $SP_\alpha(G) = \sum_{uv \in E(G)} d_u$, if $d_u=d_v$,
Externí odkaz:
http://arxiv.org/abs/2109.10464
Publikováno v:
In Applied Mathematics and Computation 15 August 2024 475