2
\documentclass[a4paper, 12pt]{article}
\usepackage{amsfonts}
%\usepackage{amsbsy}
\usepackage{amssymb}
\usepackage{amsmath}

\begin{document}

Let $G$ be a $3$-coloured digraph. A subgraph $\mathrm{H}$ of $G$ is called linear if each component of $\mathrm{H}$ is either an edge or a cycle. We call a component of a linear subgraph {\em nonsingular}, if it is a cycle having weight other than $1$. All other components, that is, a cycle of weight $1$ and an edge of any weight, are singular (Laplacian singular, see \cite{DS2}). We use $C_{\mathrm{H}}$ to denote the number of cycles in a linear subgraph $\mathrm{H}$. By $S_{\mathrm{H}}$ and $N_{\mathrm{H}}$, we denote the number of singular components and the number of nonsingular components in $\mathrm{H}$, respectively. By $\mathcal{C}_k$, we will denote the set $\{\mathrm{H}\mid\mathrm{H} \mbox{ is a linear subgraph of order } k \mbox{ of } G \mbox{ in which no cycle has weight } \pm\mathrm{i}\}$.

\end{document}

Here in the text, when I compile the last line goes outside the box. How to fit this line so that text does not go outside?

  • You should not use \mboxes like \mbox{ in which no cycle has weight }. – Schrödinger's cat Feb 16 at 6:58
  • but if I remove it all the words get combined together (looks like '' isalinearsubgra pho f orderk'') – J.Doe Feb 16 at 7:03
  • My guess would be to use \text instead – Simon Feb 16 at 7:10
  • I had tried with that also. But still it remains the same – J.Doe Feb 16 at 7:13
  • Could you show a picture of the problem, as I don't get any issues with your code. – Simon Feb 16 at 7:33
4

\mbox and \text will not text-wrap, use $..$s for math parts only.

\documentclass[a4paper, 12pt]{article}
\usepackage{amsfonts}
%\usepackage{amsbsy}
\usepackage{amssymb}
\usepackage{amsmath}

\begin{document}

Let $G$ be a $3$-coloured digraph. A subgraph $\mathrm{H}$ of $G$ is called linear if 
each component of $\mathrm{H}$ is either an edge or a cycle. We call a component of a 
linear subgraph {\em nonsingular}, if it is a cycle having weight other than $1$. All
other components, that is, a cycle of weight $1$ and an edge of any weight, are singular 
(Laplacian singular, see \cite{DS2}). We use $C_{\mathrm{H}}$ to denote the number of 
cycles in a linear subgraph $\mathrm{H}$. By $S_{\mathrm{H}}$ and $N_{\mathrm{H}}$, we 
denote the number of singular components and the number of nonsingular components in 
$\mathrm{H}$, respectively. By $\mathcal{C}_k$, we will denote the set 
\{$\mathrm{H}\mid\mathrm{H}$ is a linear subgraph of order $k$ of $G$ in which no 
cycle has weight $\pm\mathrm{i}$\}.

\end{document}

enter image description here

|improve this answer|||||
  • it is very nice... – J.Doe Feb 16 at 7:56
  • Why \{ and \} outside of math mode? – egreg Feb 16 at 8:34
  • Better use \( ... \) to enclose inline math, it helps avoiding accidents (unclosed $ gets closed by an unrelated open $) and it easier to frob with regex tools. – vonbrand Feb 17 at 3:33
4

Just don't use such verbose set descriptions: your readers will have a hard time guessing where the set description starts and ends.

In the code below I added several ties ~.

\documentclass[a4paper, 12pt]{article}
\usepackage{amsfonts}
%\usepackage{amsbsy}
\usepackage{amssymb}
\usepackage{amsmath}

\begin{document}

Let $G$ be a $3$-coloured digraph. A subgraph $\mathrm{H}$ of $G$ is called 
linear if each component of $\mathrm{H}$ is either an edge or a cycle. 
We call a component of a linear subgraph \emph{nonsingular}, if it is a cycle 
having weight other than~$1$. All other components, that is, a cycle of 
weight~$1$ and an edge of any weight, are singular (Laplacian singular, 
see~\cite{DS2}). We use $C_{\mathrm{H}}$ to denote the number of cycles in 
a linear subgraph~$\mathrm{H}$. By $S_{\mathrm{H}}$ and $N_{\mathrm{H}}$ 
we denote the number of singular components and the number of nonsingular 
components in~$\mathrm{H}$, respectively. By~$\mathcal{C}_k$ we will denote 
the set 
%%% $\{\mathrm{H}\mid\mathrm{H} \mbox{ is a linear subgraph of order } k 
%%%\mbox{ of } G \mbox{ in which no cycle has weight } \pm\mathrm{i}\}$.
of all linear subgraphs of~$G$ having order~$k$ and in which no cycle has 
weight~$\pm\mathrm{i}$.

\end{document}

enter image description here

Note also \emph{nonsingular} rather than {\em nonsingular}. I'm not sure why the graph symbol is in italic, while the symbol for a subgraph is upright.

Do you need a comma after By~$\mathcal{C}_k$? Grammar would say no.

|improve this answer|||||
  • Much easier to read! – Benjamin McKay Feb 16 at 14:35
  • Just a nit to pick: when defining something, emphasize (like "... is called \emph{linear}..."). – vonbrand Feb 17 at 3:35
  • 1
    @vonbrand The OP used it for another term; whether using \emph for “linear” depends on the text preceding the present paragraph, but you’re probably right. – egreg Feb 17 at 8:49

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