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CPC
2007
88views more  CPC 2007»
15 years 1 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
GC
2010
Springer
15 years 3 days ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
JCT
2010
110views more  JCT 2010»
15 years 8 hour ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov
MKM
2004
Springer
15 years 7 months ago
A Graph-Based Approach Towards Discerning Inherent Structures in a Digital Library of Formal Mathematics
As the amount of online formal mathematical content grows, for example through active efforts such as the Mathweb [21], MOWGLI [4], Formal Digital Library, or FDL [1], and others, ...
Lori Lorigo, Jon M. Kleinberg, Richard Eaton, Robe...
COLT
2005
Springer
15 years 7 months ago
Towards a Theoretical Foundation for Laplacian-Based Manifold Methods
In recent years manifold methods have attracted a considerable amount of attention in machine learning. However most algorithms in that class may be termed “manifold-motivatedâ€...
Mikhail Belkin, Partha Niyogi