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adjacent algorithm Amer array BIBD block Canad cardinality cells characterization CM CM CM co-circuit Combinatorial conjecture connected matroid construction contains Corollary cycle d-arrangement defined deleting denote diagonal steps disjoint distinct eigenvalues equations equivalence class exists finite given graph G Graph Theory H is flexible Harary Hence induction integer isomorphic isomorphic to H Latin squares left-decap Lemma Let G Let H line graph line isomorphisms loops M-circuit Math matrix minimally 2-connected graphs minimally strong digraphs obtained odd degreed orthogonal pair pairwise balanced design pancyclic partition planar planar graph plane points positive integers prime problem Proof Proposition prove pseudographs RBPD Room square Schur theorem simple path insertion Steiner triple systems subarray subgraph subset Suppose symbols symmetric symmetric difference Theorem tn(G triple systems University of Waterloo valency values vertex vertices W. T. Tutte weighted lattice weighted lattice paths zonotopes