Variations on a tree

IF 1 3区 数学 Q1 MATHEMATICS European Journal of Combinatorics Pub Date : 2024-06-01 DOI:10.1016/j.ejc.2023.103808
Pascale Kuntz , Bruno Pinaud
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引用次数: 0

Abstract

The family tree is like an inherited “object” that has been passed down through many generations, with many and varied definitions which distort the tree both as a combinatorial object and in its visual representations. Moreover, whether used by amateur genealogists or academic researchers, it is always contextualized by both validated exogenous knowledge and by implicit knowledge. In this paper, we explore introducing certain contextual information that is associated with a locally defined dissimilarity between individuals of the same generation. We propose a new heuristic based on a radial representation of a node-link model which seeks to preserve local proximities in the layout. This heuristic is applied in an original form, which is that of Pierre Rosenstiehl’s “scientific family tree”.

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树的变体
家谱就像一个世代相传的 "物品",其定义多种多样,无论是作为组合物品还是在视觉表现上,都会对家谱造成扭曲。此外,无论是业余家谱爱好者还是学术研究人员,使用家谱时都要考虑到有效的外在知识和内隐知识。在本文中,我们探讨了引入某些与同代个体之间局部定义的不相似性相关联的背景信息。我们提出了一种新的启发式方法,它基于节点-链接模型的径向表示法,旨在保留布局中的局部近似性。这种启发式以皮埃尔-罗森施蒂尔(Pierre Rosenstiehl)的 "科学家族树 "这一原始形式应用。
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来源期刊
CiteScore
2.10
自引率
10.00%
发文量
124
审稿时长
4-8 weeks
期刊介绍: The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.
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