By Frank Harary (auth.), Prof. Ruth A. Bari, Prof. Frank Harary (eds.)
ISBN-10: 3540068546
ISBN-13: 9783540068549
ISBN-10: 354037809X
ISBN-13: 9783540378099
Read or Download Graphs and Combinatorics: Proceedings of the Capital Conference on Graph Theory and Combinatorics at the George Washington University June 18–22, 1973 PDF
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Extra info for Graphs and Combinatorics: Proceedings of the Capital Conference on Graph Theory and Combinatorics at the George Washington University June 18–22, 1973
Example text
12. Robinson, R. , and Schwenk, A. , The Distribution of Degrees in a Large Random Tree. roc. Cambridge Phil. , submitted. IS THE NULL-GRAPH A POINTLESS CONCEPT? Frank Harary University of Michigan and Oxford University Ronald C. Read University of Waterloo ABSTRACT The graph with no points and no lines is discussed critically. for and against its official admittance as a graph are presented. accompanied by an extensive survey of the literature. of the null-graph are noted. No conclusion is reached.
Of course, there is practically no limit to the additional variations one might propose. From: Reconstruct: graphs point-deleted subgraphs multigraphs line- (or arc-) deleted subgraphs digraphs set of point-deleted subgraphs tournaments set of line- (or arc-) deleted sub graphs relations networks Table 1. Twenty four reconstruction problems Manvel aud Stockmeyer [43] reconstructed n x n matrices from the n principal minors. It might seem that this should imply the RC by reconstructing the adja- 25 cency matrix A(G), but a second glance reveals that the minors retain the relative order of the n - 1 remaining rows and columns whereas the deck of point-deleted subgraphs loses that information.
We discuss here Note that it is not a question of whether the null-graph "really exists"; it is simply a question of whether there is any point in it. Figure 1. 2. The Null Graph CURRENT USAGE Let us start with a brief survey of how some well-known writers on graph theory have handled the null-graph, noting in particular that if a writer does not explicitly state that the set of points of a graph is non-empty, he has, by default, admitted the null-graph, even though he may subsequently pay no attention to it.
Graphs and Combinatorics: Proceedings of the Capital Conference on Graph Theory and Combinatorics at the George Washington University June 18–22, 1973 by Frank Harary (auth.), Prof. Ruth A. Bari, Prof. Frank Harary (eds.)
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