History of a particular topic in graph theory.
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I was going through the book Handbook of Product Graphs by Sandi Sir et. al. They have mentioned in detail about all the graph products. I am more curious about the history of these products. I mean who defined these products and in which year. From searching on the web, I got to know only about Tensor product of graphs. Can anyone help me by providing desired sites and info from where I can get these details? It will mean a lot to me. Thanks a lot for the help.
PS: Does the following pic indicate that in this article the graph product was first introduced?
graph-theory reference-request math-history
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up vote
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favorite
I was going through the book Handbook of Product Graphs by Sandi Sir et. al. They have mentioned in detail about all the graph products. I am more curious about the history of these products. I mean who defined these products and in which year. From searching on the web, I got to know only about Tensor product of graphs. Can anyone help me by providing desired sites and info from where I can get these details? It will mean a lot to me. Thanks a lot for the help.
PS: Does the following pic indicate that in this article the graph product was first introduced?
graph-theory reference-request math-history
4
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
2
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48
add a comment |Â
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I was going through the book Handbook of Product Graphs by Sandi Sir et. al. They have mentioned in detail about all the graph products. I am more curious about the history of these products. I mean who defined these products and in which year. From searching on the web, I got to know only about Tensor product of graphs. Can anyone help me by providing desired sites and info from where I can get these details? It will mean a lot to me. Thanks a lot for the help.
PS: Does the following pic indicate that in this article the graph product was first introduced?
graph-theory reference-request math-history
I was going through the book Handbook of Product Graphs by Sandi Sir et. al. They have mentioned in detail about all the graph products. I am more curious about the history of these products. I mean who defined these products and in which year. From searching on the web, I got to know only about Tensor product of graphs. Can anyone help me by providing desired sites and info from where I can get these details? It will mean a lot to me. Thanks a lot for the help.
PS: Does the following pic indicate that in this article the graph product was first introduced?
graph-theory reference-request math-history
edited Jul 21 at 14:49
MJD
46k28199378
46k28199378
asked Jul 21 at 12:35


monalisa
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1,34111835
4
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
2
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48
add a comment |Â
4
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
2
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48
4
4
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
2
2
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48
add a comment |Â
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4
Haray, F.: Graph Theory, 1969, cites your article. But your article cites ČulÃk, K: Zur Theorie der Graphen. Časopis pro pěstovánà matematiky 83 (1958) (2) 133-155. eudml.org/doc/19137 The term "product" occurs already in König, D.: Theorie der endlichen und unendlichen Graphen, 1936. See Google Books: König "Theory of Finite and Infinite Graphs", and search its text there for "product*".
– IV_
Jul 21 at 15:27
2
You could search the collected works of Arthur Cayley for "product": see the corresponding links in de.wikipedia.org/wiki/Arthur_Cayley
– IV_
Jul 21 at 15:48