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The theta-complete graph Ramsey number R(θn K5) = 4n - 3 for n = 6 and n≥ 10
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Charles Babbage Research Centre
, 2017 , Article)
For any two graphs F1 and F2, the graph Ramsey number r(F1, F2) is the smallest positive integer N with the property that every graph of at least N vertices contains F1 or its complement contains F2 as a subgraph. In this ...
The Ramsey number for two graphs of order 5
(
Taylor and Francis Ltd.
, 2018 , Article)
For two graphs F1 and F2, the Ramsey number R(F1, F2) is the smallest positive integer r such that for every graph G on r vertices, G contains F1 as a subgraph or the complement of G contains F2 as a subgraph. We present ...
New Multiple-kink solutions and singular-kink-solutions of (2 + 1) - Dimensional coupled burgers system with time variable coefficients
(
American Scientific Publishers
, 2017 , Article)
In this paper, we show that the (2+1)-dimensional coupled Burgers system with time variable coefficients which arise in engineering, chemistry, chemical physics, plasma physics, complex physics and phenomena gives multiple ...
A note on the Ramsey numbers for theta graphs versus the wheel of order 5
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Kalasalingam University
, 2018 , Article)
The study of exact values and bounds on the Ramsey numbers of graphs forms an important family of problems in the extremal graph theory. For a set of graphs S and a graph F, the Ramsey number R(S,F) is the smallest positive ...
Edge maximal non-bipartite Hamiltonian graphs without theta graphs of order 7
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Forum-Editrice Universitaria Udinese SRL
, 2019 , Article)
For a set of graphs F, let H(n; F) denote the class of non-bipartite Hamiltonian graphs on n vertices that does not contain any graph of F as a subgraph and h(n; F) = max{E(G): G ? H(n; F)} where E(G) is the number of edges ...
On the basis number of the wreath product of ladders
(
Charles Babbage Research Centre
, 2016 , Article)
The basis number of a graph G is defined to be the least non negative integer d such that there is a basis B of the cycle space of G such that each edge of G is contained in at most d members of B. In this paper, we determine ...
New solitary wave and multiple soliton solutions for the time-space coupled fractional mKdV system with time-dependent coefficients
(
American Scientific Publishers
, 2016 , Article)
In this paper, a simplified bilinear method combined with a fractional transform has been used to obtain new multiple soliton solutions for the Fractional coupled modified KdV systems with variable coefficients. These ...
Approximate solutions to the generalized time-fractional ito system
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Forum-Editrice Universitaria Udinese SRL
, 2017 , Article)
In this work, we consider the time-fractional version of the well-known integrable Ito system to study the effect of its fractional index "memory index". A modified approach of a relatively new method called residual power ...