20.500.12556/RUP-22299 Connected sum of graphs as molecular electronic devices Povezana vsota grafov kot molekularneelektronske naprave The connected sum Z of two root graphs of order n is obtained by gluing them together along a common subgraph G of order n − 1. The two vertices of Z not in G are called terminal vertices. The edged connected sum Z + e is obtained from Z by adding the edge joining the terminal vertices. We consider the case when the root graphs have the same μ–eigenspace of the 0–1 adjacency matrix of dimension one. We show that the μ–eigenspace imposes structural constraints on Z and Z + e, depending on the type of the two vertices. For μ = 0, we investigate the electrical behaviour of a molecular electronic device with structure Z or Z + e, connected at the terminal vertices in a circuit across a small bias voltage. It transpires that the device will be a conductor or insulator depending on the type of the terminal vertices in the 0–eigenspace. We show that conductivity or its barring distinguishes between Z and Z + e. molecular electronic device (MED) common eigenspace μ–core vertices connected–sum molekularna elektronska naprava (MED) skupni lastni prostor μ–jedrna vozlišča povezana vsota true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-12-22 11:47:22 2025-12-22 11:47:22 2026-01-05 11:44:24 0000-00-00 00:00:00 2026 0 0 9 str. no. 1, [article no.] P1.04 Vol 9 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-12-17 51 2590-9770 10.26493/2590-9770.1522.8ca ADAM_Sciriha_2026.pdf ADAM_Sciriha_2026.pdf 1 C14FFAAEC6D54A509B7312BCE1352A0B 1bc5497a8dde286f301f38a729a4b2ed708ea4830471698bc1bbe1bb317def05 2e68c97a-df24-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32383 Založba Univerze na Primorskem 0 0 0