Clasp-pass Moves on Spatial Graphs
نویسندگان
چکیده
منابع مشابه
Local Moves on Spatial Graphs and Finite Type Invariants
We define Ak-moves for embeddings of a finite graph into the 3-sphere for each natural number k. Let Ak-equivalence denote an equivalence relation generated by Ak-moves and ambient isotopy. Ak-equivalence implies Ak−1-equivalence. Let F be an Ak−1-equivalence class of the embeddings of a finite graph into the 3-sphere. Let G be the quotient set of F under Ak-equivalence. We show that the set G ...
متن کاملStochastic Evolution of Graphs using Local Moves
Inspired by theories such as Loop Quantum Gravity, a class of stochastic graph dynamics was studied in an attempt to gain a better understanding of discrete relational systems under the influence of local dynamics. Unlabeled graphs in a variety of initial configurations were evolved using local rules, similar to Pachner moves, until they reached a size of tens of thousands of vertices. The effe...
متن کاملCk-MOVES ON SPATIAL THETA-CURVES AND VASSILIEV INVARIANTS
The Ck-equivalence is an equivalence relation generated by Ck-moves defined by Habiro. Habiro showed that the set of Ck-equivalence classes of the knots forms an abelian group under the connected sum and it can be classified by the additive Vassiliev invariant of order ≤ k−1. We see that the set of Ck-equivalence classes of the spatial θ-curves forms a group under the vertex connected sum and t...
متن کاملFinite Type Knot Invariants Based on the Band-pass and Doubled Delta Moves
We study generalizations of finite-type knot invariants obtained by replacing the crossing change in the Vassiliev skein relation by some other local move. There are several ways of formalizing the notion of a local move. Representing knots as closed braids, one can define local moves as modifications by elements of some subgroup G of the pure braid group P∞ on an infinite number of strands. We...
متن کاملQualitative spatial reasoning for soccer pass prediction
Given the advances in camera-based tracking systems, many soccer teams are able to record data about the players’ position during a game. Analysing these data is challenging, since they are fine-grained, contain implicit relational information between players, and contain the dynamics of the game. We propose the use of qualitative spatial reasoning techniques to address these challenges, and te...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Interdisciplinary Information Sciences
سال: 2001
ISSN: 1347-6157,1340-9050
DOI: 10.4036/iis.2001.113