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The density of maximal IC-plane graphs and maximal NIC-plane graphs

2025/01/17 by Zongpeng Ding, Yuanqiu Huang, Ding, Zongpeng +5 · 1 citation
Computer Science · Engineering · #Advanced Graph Theory Research #Interconnection Networks and Systems #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2501.10218

Abstract

In this paper, we show that any maximal IC-plane graph of order n has at least \lceil(7)/(3)n-(14)/(3)\rceil edges, and any maximal NIC-plane graph of order n has at least \lceil(11)/(5)n-(18)/(5)\rceil edges. Moreover, we show that both results are tight for infinitely many integers n.

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