on $bullet$-lict signed graphs $l_{bullet_c}(s)$ and $bullet$-line signed graphs $l_bullet(s)$

a emph{signed graph} (or, in short, emph{sigraph}) $s=(s^u,sigma)$ consists of an underlying graph $s^u :=g=(v,e)$ and a function $sigma:e(s^u)longrightarrow {+,-}$, called the signature of $s$. a emph{marking} of $s$ is a function $mu:v(s)longrightarrow {+,-}$. the emph{canonical marking} of a signed graph $s$, denoted $mu_sigma$, is given as $$mu_sigma(v) := prod_{vwin e(s)}sigma(vw).$$the line-cut graph (or, in short, emph{lict graph}) of a graph $g=(v,e)$, denoted by $l_c(g)$, is the graph with vertex set $e(g)cup c(g)$, where $c(g)$ is the set of cut-vertices of $g$, in which two vertices are adjacent if and only if they correspond to adjacent edges of $g$ or one vertex corresponds to an edge $e$ of $g$ and the other vertex corresponds to a cut-vertex $c$ of $g$ such that $e$ is incident with $c$.in this paper, we introduce emph{dot-lict signed graph} (or emph{$bullet$-lict signed graph}) $l_{bullet_c}(s)$, which has $l_c(s^u)$ as its underlying graph. every edge $uv$ in $l_{bullet_c}(s)$ has the sign $mu_sigma(p)$, if $u, v in e(s)$ and $pin v(s)$ is a common vertex of these edges, and it has the sign $mu_sigma(v)$, if $uin e(s)$ and $vin c(s)$.we characterize signed graphs on $k_p$, $pgeq2$, on cycle $c_n$ and on $k_{m,n}$ which are $bullet$-lict signed graphs or $bullet$-line signed graphs, characterize signed graphs $s$ so that $l_{bullet_c}(s)$ and $l_bullet(s)$ are balanced. we also establish the characterization of signed graphs $s$ for which $ssim l_{bullet_c}(s)$, $ssim l_bullet(s)$, $eta(s)sim l_{bullet_c}(s)$ and $eta(s)sim l_bullet(s)$, here $eta(s)$ is negation of $s$ and $sim$ stands for switching equivalence.