\begin{tikzpicture}[x=1cm,y=1cm,font=\small,>=Latex, original/.style={circle,fill=black,inner sep=0pt,minimum size=4pt}, internal/.style={circle,draw,fill=white,inner sep=0pt,minimum size=4pt}] \node[anchor=west] at (0,5.9) {(a) The edge $e$ and a path starting at $j$}; \node[original,label=below:$i$] (i) at (.35,5.15) {}; \node[internal] (x) at (1.05,5.15) {}; \node[original,label=below:$j$] (j) at (3,5.15) {}; \node[original,label=below:$u$] (u) at (11.1,5.15) {}; \draw[blue!70!black,line width=1.8pt] (i)--node[above] {$e$}(x); \draw[dashed] (x)--node[above] {5 edges}(j); \draw (j)--(u); \draw[dashed,black!60] (i) .. controls (.35,4.5) and (11.1,4.5) .. node[pos=.5,text=black,fill=white,inner sep=2pt] {6 edges from $i$ to $u$} (u); \foreach \t in {1,...,5}{ \node[internal] at ({3+1.35*\t},5.15) {}; \node[above] at ({3+1.35*\t},5.28) {$t=\t$}; } \node[anchor=west] at (0,4.2) {(b) Compare distances before subtracting the baseline}; \draw[->] (2.9,.4)--(2.9,3.55) node[above] {distance}; \draw[->] (2.9,.4)--(10.25,.4) node[right] {$t$}; \foreach \d/\y in {6/.8,7/1.6,8/2.4,9/3.2}{ \draw[black!12] (3.25,\y)--(9.9,\y); \node[left] at (2.8,\y) {$\d$}; } \draw[dashed,black!60] (4.35,1.6)--(5.7,2.4)--(7.05,3.2)--(8.4,2.4)--(9.75,1.6); \draw[blue!70!black,thick] (4.35,.8)--(5.7,1.6)--(7.05,2.4)--(8.4,2.4)--(9.75,1.6); \foreach \x/\actual/\base/\t in {4.35/.8/1.6/1,5.7/1.6/2.4/2,7.05/2.4/3.2/3,8.4/2.4/2.4/4,9.75/1.6/1.6/5}{ \draw[black!65,fill=white] (\x-.085,\base-.085) rectangle (\x+.085,\base+.085); \fill[blue!70!black] (\x,\actual) circle(2.4pt); \node[below] at (\x,.32) {$\t$}; } \foreach \x/\lo/\hi in {4.35/.91/1.48,5.7/1.71/2.28,7.05/2.51/3.08}{\draw[->,orange!85!black,thick] (\x,\hi)--(\x,\lo);} \draw[black!65,fill=white] (10.6,3.05) rectangle ++(.17,.17); \node[anchor=west] at (10.9,3.13) {baseline}; \fill[blue!70!black] (10.685,2.65) circle(2.4pt); \node[anchor=west] at (10.9,2.65) {actual}; \draw[decorate,decoration={brace,mirror,amplitude=4pt}] (4.05,-.12)--(7.35,-.12); \node[align=center] at (5.7,-.72) {one count moves\\from $6+t$ to $5+t$}; \draw[decorate,decoration={brace,mirror,amplitude=4pt}] (8.15,-.12)--(10,-.12); \node[align=center] at (9.075,-.72) {equal contributions\\cancel}; \end{tikzpicture}