Zobrazeno 1 - 10
of 11
pro vyhledávání: '"John W. Essam"'
Publikováno v:
Royal Society Open Science, Vol 2, Iss 4 (2015)
Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. In particular, two types of method have emerged. One is based on potentials and the evaluation
Externí odkaz:
https://doaj.org/article/b9b210df28bd413ca90bbef7acb711a9
Autor:
David K. Arrowsmith, John W. Essam
Publikováno v:
Combinatorics, Probability and Computing. 3:1-11
We consider special types of mod-λ flows, called odd and even mod-λ flows, for directed graphs, and prove that the numbers of such flows can be interpolated by polynomials in λ with the degree given by the cycle rank of the graph. The proofs invol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb21def33172794c381debffec1ffe0b
https://doi.org/10.1017/s0963548300000924
https://doi.org/10.1017/s0963548300000924
Publikováno v:
J. Chem. Soc., Faraday Trans. 2. 73:1289-1307
All additivity schemes can be expressed in terms of an LCGI (linear combination of graphtheoretical invariants) and they are exact in a mathematically almost trivial way. With the aid of the combinatorial method of Mobius inversion, the LCGI formulat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c98b0a8f17f20688d64e6ca26af8754f
https://doi.org/10.1039/f29777301289
https://doi.org/10.1039/f29777301289
Autor:
John W. Essam, Michael E. Fisher
Publikováno v:
The Journal of Chemical Physics. 38:802-812
The Pade approximant procedure is used to study the low‐temperature series for the Ising problem. The critical behavior of the spontaneous magnetization of an Ising ferromagnet and of the liquid‐vapor coexistence curve of the corresponding lattic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1f798682e51fe915ccb48a7736a9bcd
https://doi.org/10.1063/1.1733766
https://doi.org/10.1063/1.1733766
Autor:
John W. Essam
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 67:523-534
A method of deriving power series expansions for the correlation functions of lattice systems is described. The concept of lattice constants for rooted graphs is introduced and it is shown how the correlation functions can be expanded in terms of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32e533ed962ca1c1013454edb8773f33
https://doi.org/10.1017/s0305004100045795
https://doi.org/10.1017/s0305004100045795
Autor:
Michael E. Fisher, John W. Essam
Publikováno v:
Reviews of Modern Physics. 42:272-288
A systematic list of definitions of some basic concepts in graph theory of application to physics is presented. An index, some illustrative theorems, and a brief bibliography are included.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::803512d2fd0b3610d4199d0faf77601a
https://doi.org/10.1103/revmodphys.42.272
https://doi.org/10.1103/revmodphys.42.272
Autor:
Michael E. Fisher, John W. Essam
Publikováno v:
Journal of Mathematical Physics. 2:609-619
The problem of cluster size distribution and percolation on a regular lattice or graph of bonds and sites is reviewed and its applications to dilute ferromagnetism, polymer gelation, etc., briefly discussed. The cluster size and percolation problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::199b4208508f62fa481bd48a92f4ac8a
https://doi.org/10.1063/1.1703745
https://doi.org/10.1063/1.1703745
Autor:
John W. Essam, George A. Baker
Publikováno v:
The Journal of Chemical Physics. 55:861-879
An Ising model in which the lattice parameter is allowed to fluctuate is studied, and the effects of antishearing forces which were omitted from a previous model are considered. It is found that, except in the limit when these forces are zero, the mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c99a53d8f411b0a6fc6ff1d2044a0e41
https://doi.org/10.1063/1.1676156
https://doi.org/10.1063/1.1676156
Autor:
John W. Essam
Publikováno v:
Journal of Mathematical Physics. 8:741-749
In a previous paper, it was shown that any function φ(G), defined for a general linear graph G and having the extensive property, can be expanded in terms of the lattice constants of connected subgraphs of G. In this paper, a graphical interpretatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81436ea73ca2ef18906ab4aebe130c28
https://doi.org/10.1063/1.1705272
https://doi.org/10.1063/1.1705272
Autor:
John W. Essam
Publikováno v:
Discrete Mathematics. 1(1):83-112
A graph theoretic formulation of the Ising, percolation and graph colouring problems is given, and it is shown that the solution to all three problems is derivable from the Whitney rank function.The Möbius inversion technique is illustrated in the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfcaab97200b076871b2e6118083de41