B
Bill Jackson
Researcher at Queen Mary University of London
Publications - 166
Citations - 3511
Bill Jackson is an academic researcher from Queen Mary University of London. The author has contributed to research in topics: Matroid & Pancyclic graph. The author has an hindex of 28, co-authored 162 publications receiving 3229 citations. Previous affiliations of Bill Jackson include Goldsmiths, University of London & University of Waterloo.
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Journal ArticleDOI
Connected rigidity matroids and unique realizations of graphs
Bill Jackson,Tibor Jordán +1 more
TL;DR: It is deduced that every realization of a 6-connected graph as a two-dimensional generic framework is a unique realization, based on a new inductive characterization of 3-connected graphs whose rigidity matroid is connected.
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Toughness and the existence of k‐factors
TL;DR: For any positive integer k and for any positive real number e, there exists a (k - e)-tough graph G with k|G| even and |G| ⩾ k + 1 which has no k-factor.
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A Zero-Free Interval for Chromatic Polynomials of Graphs
TL;DR: It is shown that P ( G, t ) has no zeros in (1, 32/27], and graphs whose chromatic polynomials have zeros arbitrarily close to32/27 are constructed.
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Hamilton cycles in regular 2-connected graphs
TL;DR: This result is best possible for k = 3 since the Petersen graph is a nonhamiltonian, 2-connected, 3-regular graph on 10 vertices.
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Shortest coverings of graphs with cycles
TL;DR: It is shown that the edges of a bridgeless graph G can be covered with cycles such that the sum of the lengths of the cycle is at most |E(G) + min { 2 3 |E (G)|, 7 3 (|V(G)| − 1)} .