10 ENGLISH BOOKS RELATING TO «HOMEOMORPH»
Discover the use of
homeomorph in the following bibliographical selection. Books relating to
homeomorph and brief extracts from same to provide context of its use in English literature.
(2) / :s a homeomorph iff/"1 is a homeomorph. (3) Composition of two
homeomorphs is a homeomorph. 7.9 Corollary. The relation ==; is an
equivalence relation; that is, for any spaces X, Y and Z, (1) Xe* X. (2) X a Y => Y
st X. (3) A" es y and y ...
2
Topological Graph Theory
However, we should like to prove Fary's theorem as well, and the proof of
Theorem 1.6.7 wreaks havoc with straight line seg1nents. Accordingly, we take a
different tack, as follows. If a graph contains no homeomorph of K 5 or K33, and it
is not ...
Jonathan L. Gross, Thomas W. Tucker, 2001
3
Chromatic Polynomials and Chromaticity of Graphs
A fCi-homeomorph is a subdivision of the complete graph K4. Such a
homeomorph will be denoted by K^ipi , 0,2, 03, 04, 05, ae) if the six edges of K4
are replaced by six paths of length 0,1,0,2,- •• ,0$ respectively as shown in Figure
5.5.
F. M. Dong, Khee Meng Koh, K. L. Teo, 2005
4
Geometry of Cuts and Metrics
H = (W, F) be a homeomorph of K^ contained in G' having minimum number of
edges. Then, W = U (by minimality of \U\) and H / K^ (by assumption). To fix ideas,
suppose H is the graph shown in Figure 31.3.11; so, H consists of the six paths P
...
M. Deza, Monique Laurent, 1997
5
A Textbook of Graph Theory
If a is adjacent to only three of {v2, v3, v4, v5}, say v2, v3, and v4, then the edge-
induced subgraph of G6 induced by the edges avl, avz, (1V3, av4, v1v5, v2v3,
v2v4, v2v5, v3v4, v3v5, and v4v5 is a homeomorph of K5. In this case, G6 also ...
R. Balakrishnan, K. Ranganathan, 2012
6
Trends in Acarology: Proceedings of the 12th International ...
Ratios of homeomorph:heteromorph were frequently higher at low population
densities than at high densities – the opposite of the pattern observed for S.
berlesei. An alternative hypothesis that quality of diet may determine morph ratio
is ...
7
Topics in Semidefinite and Interior-Point Methods
Suppose G = (V, E) is a graph for which there exists a subset U C V such that G[U
] contains a homeomorph of K4 and contains no clique of size 4. Choose such U
of minimum cardinality; set G' := G[U] := (U,E'). Moreover, let H = (W, F) be a ...
Panos M. Pardalos and Henry Wolkowicz
8
Canadian Journal of Mathematics
If Xn is obtained from Xn-i by (4), then a homeomorph of Xn can be constructed
out of C by appending a 1-simplexes at a distinct points of Ec. Therefore, there is
a non-negative integer /3 such that a homeomorph of X can be constructed out of
...
9
Graph-Theoretic Concepts in Computer Science: International ...
To this end, if H is a subgraph of G homeomorph ic with #. and at least one image
of an edge of Kr is a path of length of at least 2, then H contains a homeomorph of
K~ -,. On the other hand, if K. is an induced subgraph of G, then G has a vertex ...
Gottfried Tinhofer, Gunther Schmidt, 1987
10
A Course on Borel Sets
Let (Un) be a countable base for X. Take Z = ⋃ {Un : Un countable} and Y = X \ Z.
From 2.6.1 and 2.6.2 we have the following result. Theorem 2.6.3 Every
uncountable Polish space contains a homeomorph of C, and hence is of
cardinality c.
NEWS ITEMS WHICH INCLUDE THE TERM «HOMEOMORPH»
Find out what the national and international press are talking about and how the term
homeomorph is used in the context of the following news items.
An Interview with Carolina de Robertis
... L.A. Hotel after her reading at Hollywood's Book Soup bookstore. You use the archetype or homeomorph of three women in what strikes me as a unique way. «Bookslut, Dec 09»
