The Erdös Number Project

Mathematics and Science Center, Room 346
146 Library Drive
Rochester, MI 48309-4479
(location map)

# erddata.html

The information on this page is based on the updated lists of 2020.

### Here is the distribution of the number of coauthors with Erdös number 1 for the 12,600 people with Erdös number 2.

• Mean = 1.47
• Standard deviation = 1.24
• Median = 1
• The frequency distribution is as follows:
•  Value    Count
1     9784
2     1551
3      599
4      275
5      132
6       89
7       56
8       37
9       30
10       17
11       11
12        7
13        4
14        2
15        4
16        0
17        1
18        0
19        1

(Here are the outliers in this distribution.)

### Here is the distribution of the number of coauthors with Erdös number 1 for the 512 people with Erdös number 1. In other words, this is the vertex degree data for the subgraph of the collaboration graph induced by people with Erdös number 1.

• Mean = 6.63
• Standard deviation = 8.14
• Median = 4
• The frequency distribution is as follows:

Value     Count
0        37
1        82
2        65
3        50
4        41
5        35
6        39
7        24
8        20
9        17
10        12
11        13
12         9
13         4
14         6
15         7
16         6
17         4
18         2
19         4
20         1
21         3
22         1
23         0
24         2
25         2
26         2
27         3
28         2
29         2
30         3
31         2
32         0
33         1
34         1
35         2
36         0
37         0
38         0
39         1
40         2
41         0
42         0
43         1
44         2
45         0
46         0
47         1
48         0
49         0
50         0
51         0
52         0
53         0
54         0
55         0
56         0
57         0
58         1

(Here are the outliers in this distribution.)

### Here is the distribution of the total number of coauthors (other than Erdös) for the 512 people with Erdös number 1.

• Mean = 42.74
• Standard deviation = 53.17
• Median = 27
• The frequency distribution is as follows:

Value      Count
0            6
1           13
2           13
3           18
4            9
5            9
6- 10        61
11- 15        56
16- 20        32
21- 25        41
26- 30        30
31- 35        30
36- 40        24
41- 45        19
46- 50        16
51- 55        15
56- 60        15
61- 65         6
66- 70         5
71- 75         8
76- 80         7
81- 85         5
86- 90         5
91- 95         7
96-100         5
101-110        13
111-120         5
121-130         5
131-140         4
141-150         8
151-160         5
161-170         2
171-180         1
181-190         4
191-200         0
201-250         3
262           1
267           1
277           1
278           1
282           1
315           1
520           1

(Here are the outliers in this distribution.)

### The following data are about the vertex Paul Erdös in the collaboration multigraph. It shows the distribution of the number of papers that Erdös's coauthors have with him. (See the file Erdos0pfor details.)

• Mean = 3.27
• Standard deviation = 6.44
• Median = 1
• The histogram is as follows:

Value    Count
1      309    *******************************
2       70    *******
3       38    ****
4       22    ***
5       14    **
6        7    *
7       12    **
8        5    *
9        3    *
10        2    *
11        3    *
12        1    *
13        0
14        4    *
15        2    *
16        0
17        0
18        2    *
19        2    *
20        1    *
21        2    *
22        0
23        2
24        0
25        0
26        0
27        1    *
28        1    *
29        1    *
30        1    *
31        0
32        1    *
33        0
34        0
35        2    *
...
42        1    *
...
50        1    *
...
56        1    *
...
62        1    *

### The following histogram shows the number of new coauthors Paul Erdös added each year. (See the file Erdos0dfor details.)

Year        Number of new coauthors
1934        2    **
1935        0
1936        4    ****
1937        3    ***
1938        4    ****
1939        2    **
1940        1    *
1941        1    *
1942        1    *
1943        3    ***
1944        1    *
1945        3    ***
1946        3    ***
1947        3    ***
1948        4    ****
1949        3    ***
1950        6    ******
1951        1    *
1952        1    *
1953        5    *****
1954        2    **
1955        4    ****
1956        7    *******
1957        2    **
1958        5    *****
1959        6    ******
1960        1    *
1961        4    ****
1962        4    ****
1963        7    *******
1964        7    *******
1965        7    *******
1966       10    **********
1967        3    ***
1968        2    **
1969        3    ***
1970        6    ******
1971        7    *******
1972        9    *********
1973       17    *****************
1974       13    *************
1975       17    *****************
1976       17    *****************
1977       11    ***********
1978       14    **************
1979       10    **********
1980       13    *************
1981       12    ************
1982        3    ***
1983       17    *****************
1984        6    ******
1985       20    ********************
1986        8    ********
1987       34    **********************************
1988       22    **********************
1989       10    **********
1990       15    ***************
1991       14    **************
1992       12    ************
1993       10    **********
1994        9    *********
1995       10    **********
1996       15    ***************
1997       14    **************
1998        4    ****
1999       13    *************
2000        0
2001        0
2002        1    *
2003        1    *
2004        1    *
2005        0
2006        0
2007        1    *
2015        1    *

Click here for a text file of the adjacency lists of the collaboration graph of Paul Erdös’s coauthors as of 2007, for those who want to do their own further analysis. Please share any results with us!