Parity Versions of 2-Connectedness
نویسندگان
چکیده
This paper introduces parity versions of familiar graph theoretic results, in particular results related to 2-connectedness. The even and odd circuit connected graphs are characterized. The realizable, even-realizable, alternating-realizable, dual realizable and dual even-realizable graphs are classified.
منابع مشابه
2 Preliminaries on locally definable spaces
In [2] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in W -definable groups – which are examples of locally definable spaces. We s...
متن کاملLocally definable homotopy
In [2] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in ∨ -definable groups – which are examples of locally definable spaces. We s...
متن کاملUniform connectedness and uniform local connectedness for lattice-valued uniform convergence spaces
We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...
متن کاملSomewhat-connectedness and somewhat-continuity in the product space
In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the concept of textit{somewhat}-continuous function from an arbitrary topological space into the product space will be chara...
متن کاملInvestigation of a Preliminary Mixed Method of Phubbing and Social Connectedness in Adolescents
Background: The exponential growth of smartphones has afforded many users with ubiquitous access to socialization as seen in the various mobile apps used to communicate and connect with others. The present study employed mixed-method approaches to analyse the impact of phubbing on social connectedness among adolescents in Malaysia. Methods:</stron...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Electr. J. Comb.
 
دوره 13 شماره
صفحات -
تاریخ انتشار 2006