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Browsing EPrint Collection - Mathematics by Subject "Configuration"
Now showing items 1-3 of 3
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3-connected configurations (n3) with no Hamiltonian circuit
(2006)For more than a century there have been examples of (n3) configurations without a Hamiltonian circuit. However, all these examples were only 2-connected. It has been believed that all geometric 3-connected configurations ... -
Configurations of points and lines
(2005)A vigorous study of geometric configurations started in the 1870's but was essentially abandoned early in the twentieth century. New approaches found during the last two decades prompted a renewed interest in the topic, ... -
Small triangle-free configurations of points and lines
(2006)In this paper we show that all combinatorial triangle-free configurations (v_3) for v (is less than or equal to) 8 are geometrically realizable. We also show that there is a unique smallest astral (18_3) triangle-free ...