On The Unitary Cayley Ring Signed Graphs

A Signed graph (or sigraph in short) is an ordered pair S = (G, σ), where G is a graph G = (V, E) and σ : E → {+, −} is a function from the edge set E of G into the set {+, −}. For a positive integ...

[1]  F. Harary.  On the notion of balance of a signed graph. , 1953 .

[2]  B. Devadas Acharya,et al.  Spectral criterion for cycle balance in networks , 1980, J. Graph Theory.

[3]  Frank Harary,et al.  Counting balanced signed graphs using marked graphs , 1981 .

[4]  Torsten Sander.  Eigenspaces of Hamming graphs and unitary Cayley graphs , 2010, Ars Math. Contemp..

[5]  Deepa Sinha,et al.  Some results on semi-total signed graphs , 2011, Discuss. Math. Graph Theory.

[6]  Andrew Droll.  A Classification of Ramanujan Unitary Cayley Graphs , 2010, Electron. J. Comb..

[7]  Pedro Berrizbeitia,et al.  On cycles in the sequence of unitary Cayley graphs , 2004, Discret. Math..

[8]  Elena D. Fuchs.  Longest Induced Cycles in Circulant Graphs , 2005, Electron. J. Comb..

[9]  J. Niel de Beaudrap.  On Restricted Unitary Cayley Graphs and Symplectic Transformations Modulo n , 2010, Electron. J. Comb..

[10]  Thomas Zaslavsky.  Signed analogs of bipartite graphs , 1998, Discret. Math..

[11]  Frank Harary,et al.  A simple algorithm to detect balance in signed graphs , 1980, Math. Soc. Sci..

[12]  H. N. Ramaswamy,et al.  On the Energy of Unitary Cayley Graphs , 2009, Electron. J. Comb..

[13]  Deepa Sinha,et al.  On the Unitary Cayley Signed Graphs , 2011, Electron. J. Comb..

[14]  J. Davis.  Clustering and Structural Balance in Graphs , 1967 .

[15]  Reza Akhtar,et al.  On the Unitary Cayley Graph of a Finite Ring , 2009, Electron. J. Comb..

[16]  Cornelis Hoede.  A characterization of consistent marked graphs , 1992, J. Graph Theory.

[17]  Frank Harary,et al.  Consistency in marked digraphs. , 1978 .

[18]  Torsten Sander,et al.  Some Properties of Unitary Cayley Graphs , 2007, Electron. J. Comb..

[19]  Douglas R. Stinson,et al.  Sequentially Perfect and Uniform One-Factorizations of the Complete Graph , 2005, Electron. J. Comb..