List of articles (by subject) Algebraic Structures and Optimization

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  1 - BICYCLIC GRAPHS WITH MINIMUM AND MAXIMUM FORGOTTEN AND INVERSE DEGREE INDICES
  mohammad ali manian Shahram Heidarian ّFarhad Khaksar Haghani
  In chemical graph theory, the forgotten index and inverse degree index of a connected simple graph G are defined as F(G) = ∑ 〖d_u^2+d_v^2 〗and ID(G) = ∑1/d_u respectively, where d_u represents the degree of vertex u in G. In this paper, we use some graph transformati More

  In chemical graph theory, the forgotten index and inverse degree index of a connected simple graph G are defined as F(G) = ∑ 〖d_u^2+d_v^2 〗and ID(G) = ∑1/d_u respectively, where d_u represents the degree of vertex u in G. In this paper, we use some graph transformations and determine the minimum and the maximum values of the forgotten index and the inverse degree index on the class of bicyclic graphs. In addition, we characterize their corresponding extremal graphs. Manuscript profile
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  2 - INTRODUCING TWO CLASSES OF OPTIMAL CODES DERIVED FROM ONE WEIGHT F qFq[u]-ADDITIVE CODES
  sadegh sadeghi narjes mohsenifar
  Let $\mathbb{F}_{q}$ be a finite field with $q$ elements where $q = p^{m}$, and $R=\mathbb{F}_{q}+u \mathbb{F}_{q}$ denotes the ring $\frac{\mathbb{F}_{q}[u] }{\langle u^{2}\rangle}$. For positive integers $\alpha$ and $\beta$, a nonempty subset $C$ of $\mathbb{F}_{q}^ More

  Let $\mathbb{F}_{q}$ be a finite field with $q$ elements where $q = p^{m}$, and $R=\mathbb{F}_{q}+u \mathbb{F}_{q}$ denotes the ring $\frac{\mathbb{F}_{q}[u] }{\langle u^{2}\rangle}$. For positive integers $\alpha$ and $\beta$, a nonempty subset $C$ of $\mathbb{F}_{q}^{\alpha}\times R^{\beta}$ is called an $\mathbb{F}_{q}\mathbb{F}_{q}[u]$-additive code if $C$ is an $R$-submodule of $\mathbb{F}_{q}^{\alpha}\times R^{\beta}$. In this paper, we study these codes with respect to homogenous and Lee weights. Among main results, by the Gray image of these codes, we obtain $[q^{2}+q, 2, q^{2}]$ and $[2(q+1), 2, 2q]$ one weight optimal codes over $\mathbb{F}_{q}$. Manuscript profile