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WG
2004
Springer
15 years 4 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
BIRTHDAY
2008
Springer
15 years 1 months ago
Linear Recurrence Relations for Graph Polynomials
A sequence of graphs Gn is iteratively constructible if it can be built from an initial labeled graph by means of a repeated fixed succession of elementary operations involving add...
Eldar Fischer, Johann A. Makowsky
COCOA
2008
Springer
15 years 26 days ago
Protean Graphs with a Variety of Ranking Schemes
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
AMC
2008
78views more  AMC 2008»
14 years 11 months ago
Information processing in complex networks: Graph entropy and information functionals
This paper introduces a general framework for defining the entropy of a graph. Our definition is based on a local information graph and on information functionals derived from the...
Matthias Dehmer
DM
2008
97views more  DM 2008»
14 years 11 months ago
On extremal k-outconnected graphs
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Zeev Nutov