diff --git a/mp2/Project.2.Maggioni.Claudio/ex4.m b/mp2/Project.2.Maggioni.Claudio/ex4.m
index 1494eec..b7b1ff0 100644
--- a/mp2/Project.2.Maggioni.Claudio/ex4.m
+++ b/mp2/Project.2.Maggioni.Claudio/ex4.m
@@ -3,6 +3,11 @@ clc;
 load('householder/housegraph.mat')
 names = split(strtrim(convertCharsToStrings(name')));
 
-common1  = names((A(:,Golub) .* A(:, Moler)) == 1)
-common2 = names((A(:,Golub) .* A(:, Saunders)) == 1)
-common3 = names((A(:,TChan) .* A(:, Demmel)) == 1)
+disp("Golub-Moler:");
+disp(names((A(:,Golub) .* A(:, Moler)) == 1));
+
+disp("Golub-Saunders:");
+disp(names((A(:,Golub) .* A(:, Saunders)) == 1));
+
+disp("TChan-Demmel:");
+disp(names((A(:,TChan) .* A(:, Demmel)) == 1));
diff --git a/mp2/Project.2.Maggioni.Claudio/ex5.m b/mp2/Project.2.Maggioni.Claudio/ex5.m
new file mode 100644
index 0000000..a5d6825
--- /dev/null
+++ b/mp2/Project.2.Maggioni.Claudio/ex5.m
@@ -0,0 +1,6 @@
+clear;
+clc;
+load('householder/housegraph.mat')
+names = split(strtrim(convertCharsToStrings(name')));
+
+pagerank(names, A);
\ No newline at end of file
diff --git a/mp2/Project.2.Maggioni.Claudio/test.m b/mp2/Project.2.Maggioni.Claudio/lecture.m
similarity index 100%
rename from mp2/Project.2.Maggioni.Claudio/test.m
rename to mp2/Project.2.Maggioni.Claudio/lecture.m
diff --git a/mp2/Project.2.Maggioni.Claudio/pagerank.m b/mp2/Project.2.Maggioni.Claudio/pagerank.m
index e4f2aa1..d3df394 100644
--- a/mp2/Project.2.Maggioni.Claudio/pagerank.m
+++ b/mp2/Project.2.Maggioni.Claudio/pagerank.m
@@ -8,43 +8,31 @@ function x = pagerank(U,G,p)
 
 if nargin < 3, p = .85; end
 
-
-if(ischar(U))
-    U=cellstr(U);
-end
-
-if(isreal(U))
-   U=(num2cell(U));
-end
-
-
 % Eliminate any self-referential links
+%G = G - diag(diag(G));
 
-G = G - diag(diag(G));
-  
 % c = out-degree, r = in-degree
-
-n = size(G,1);
+[~,n] = size(G);
 c = sum(G,1);
 r = sum(G,2);
 
 % Scale column sums to be 1 (or 0 where there are no out links).
-
 k = find(c~=0);
 D = sparse(k,k,1./c(k),n,n);
 
-% Solve (I - p*G*D)*x = e
-
 e = ones(n,1);
 I = speye(n,n);
+
+% ---------------------------------- DEFAULT ------------------------------
+% Solve (I - p*G*D)*x = e
 x = (I - p*G*D)\e;
 
-% Normalize so that sum(x) == 1.
+% -------------------------------------------------------------------------
 
+% Normalize so that sum(x) == 1.
 x = x/sum(x);
 
 % Bar graph of page rank.
-
 shg
 bar(x)
 title('Page Rank')
@@ -53,13 +41,14 @@ title('Page Rank')
 
 if nargout < 1
    [~,q] = sort(-x);
-   disp('     page-rank  in  out  url')
+   disp('     page-rank  in  out  author');
    k = 1;
-   while (k <= n) && (x(q(k)) >= .005)
+   maxN = length(U);
+   while  (k <= maxN) && (x(q(k)) >= .005)
       j = q(k);
       temp1  = r(j);
       temp2  = c(j);
-      fprintf(' %3.0f %8.4f %4.0f %4.0f  %s\n', j,x(j),full(temp1),full(temp2),U{j})
+      fprintf(' %3.0f %8.4f %4.0f %4.0f  %s\n', j,x(j),full(temp1),full(temp2),U{j});
       k = k+1;
    end
 end
diff --git a/mp2/project.2.Maggioni.Claudio.pdf b/mp2/project.2.Maggioni.Claudio.pdf
index e96962e..7832917 100644
Binary files a/mp2/project.2.Maggioni.Claudio.pdf and b/mp2/project.2.Maggioni.Claudio.pdf differ
diff --git a/mp2/project.2.Maggioni.Claudio.tex b/mp2/project.2.Maggioni.Claudio.tex
index 82aa006..cdc37a2 100644
--- a/mp2/project.2.Maggioni.Claudio.tex
+++ b/mp2/project.2.Maggioni.Claudio.tex
@@ -118,7 +118,7 @@ Assuming that the degree of the Householder graph is the number of co-authors of
 each author and that an author is not co-author of himself, the degree
 centralities of all authors sorted in descending order are below.
 
-This output has been obtained by running \texttt{ex2.m}.
+This output has been obtained by running \texttt{ex3.m}.
 
 \begin{verbatim}
 Author Centrality: Coauthors...
@@ -248,6 +248,8 @@ as:
 
 \[C = \{i \in N_0 \;|\; (A_{:,i} \odot A_{:,j})_i = 1\}\]
 
+The results below were computing by using the script \texttt{ex4.m}.
+
 The common Co-authors between Golub and Moler are Wilkinson and Van Loan.
 
 The common Co-authors between Golub and Saunders are Golub, Saunders and Gill.
@@ -257,6 +259,111 @@ Heath.
 
 \section{PageRank of the Coauthor Graph [10 points]}
 
+The PageRank values for all authors were computing by using the scripts
+\texttt{ex5.m} and \texttt{pagerank.m}, a basically identical version of
+\texttt{pagerank.m} from Mini Project 1. The output is shown below.
+
+\begin{verbatim}
+     page-rank  in  out  author
+   1   0.0511   32   32  Golub
+ 104   0.0261   16   16  Demmel
+  86   0.0229   14   14  Plemmons
+  44   0.0212   13   13  Schreiber
+   3   0.0201   11   11  TChan
+  81   0.0198   13   13  Heath
+  90   0.0181   10   10  Gragg
+  74   0.0177   11   11  Hammarling
+  66   0.0171   11   11  VanDooren
+  42   0.0152    9    9  Moler
+  79   0.0151    8    8  Gutknecht
+  32   0.0142    9    9  VanLoan
+  59   0.0135    8    8  Eisenstat
+  98   0.0133    8    8  Paige
+  46   0.0130    7    7  NTrefethen
+  49   0.0129    6    6  Varga
+  96   0.0128    7    7  Meyer
+  77   0.0128    7    7  Stewart
+  73   0.0127    8    8  Luk
+  78   0.0127    7    7  Bunch
+  53   0.0127    6    6  Widlund
+  72   0.0125    7    7  Reichel
+  41   0.0125    8    8  George
+  82   0.0124    6    6  Ipsen
+  83   0.0122    6    6  Greenbaum
+  58   0.0113    7    7  Bjorck
+  97   0.0107    6    6  Nichols
+  51   0.0106    6    6  Kagstrom
+  80   0.0106    6    6  Laub
+  52   0.0104    6    6  Barlow
+  60   0.0103    6    6  Zha
+  69   0.0102    6    6  Duff
+  62   0.0100    6    6  Park
+  89   0.0099    5    5  BunseGerstner
+  63   0.0098    5    5  Arioli
+  43   0.0097    6    6  Gilbert
+  67   0.0096    6    6  Liu
+  87   0.0096    5    5  Hansen
+  47   0.0090    5    5  Nachtigal
+  54   0.0090    4    4  Bjorstad
+   2   0.0088    5    5  Wilkinson
+  23   0.0088    5    5  Harrod
+  99   0.0087    5    5  Gill
+  92   0.0086    5    5  Sameh
+  91   0.0086    5    5  Berry
+  15   0.0086    5    5  Boley
+  76   0.0085    4    4  Fischer
+  50   0.0085    3    3  Young
+  61   0.0084    5    5  VanHuffel
+ 100   0.0084    3    3  Jessup
+  48   0.0083    4    4  Kahan
+  35   0.0083    5    5  Bojanczyk
+  65   0.0082    5    5  Ng
+  93   0.0082    4    4  Ammar
+  55   0.0079    4    4  OLeary
+  84   0.0079    3    3  Ruhe
+  19   0.0078    4    4  Kaufman
+  56   0.0076    4    4  NHigham
+  37   0.0075    3    3  Marek
+  75   0.0075    3    3  Szyld
+ 103   0.0074    3    3  Starke
+  34   0.0072    4    4  Saunders
+  25   0.0072    4    4  Funderlic
+  39   0.0072    4    4  Bai
+ 102   0.0072    3    3  Hochbruck
+  88   0.0071    4    4  Elden
+  71   0.0070    4    4  Tang
+  38   0.0069    3    3  Kuo
+  40   0.0069    3    3  Tong
+   4   0.0068    3    3  He
+  13   0.0067    2    2  Kincaid
+  14   0.0067    2    2  Crevelli
+  94   0.0065    3    3  Warner
+  17   0.0065    3    3  Byers
+  21   0.0064    3    3  Fierro
+  31   0.0064    2    2  Wold
+  45   0.0062    3    3  Pothen
+  36   0.0060    3    3  Dubrulle
+  57   0.0058    2    2  Boman
+  10   0.0058    3    3  Overton
+   9   0.0057    2    2  Modersitzki
+  68   0.0056    2    2  Smith
+  95   0.0056    2    2  Davis
+  33   0.0056    2    2  Chandrasekaran
+  27   0.0055    2    2  Cullum
+  28   0.0055    2    2  Strakos
+  64   0.0054    2    2  MuntheKaas
+   7   0.0053    2    2  Ashby
+  85   0.0053    2    2  ATrefethen
+  29   0.0052    2    2  Saied
+  30   0.0052    2    2  Ong
+  18   0.0052    2    2  Benzi
+ 101   0.0052    2    2  Mathias
+   8   0.0052    2    2  LeBorne
+  12   0.0052    2    2  Borges
+   6   0.0051    2    2  Kenney
+  70   0.0050    2    2  Henrici
+\end{verbatim}
+
 \section{Zachary's karate club: social network of friendships between 34 members [50 points]}
 
 \begin{thebibliography}{99}