### Contributions to Discrete Mathematics, Vol 7, No 2 (2012)

University Of Calgary Faculty Of Science
Vertex decompositions of two-dimensional complexes and graphs Some rigid moieties of homogeneous graphs Domination Value in Graphs A discrete Faà di Bruno's formula A continuous variant of the inverse Littlewood-Offord problem for quadratic forms Frobenius partition theoretic interpretations of some basic series identities Tournaments with kernels by monochromatic paths Antichains and counterpoint dichotomies Algorithms for classifying regular polytopes with a fixed automorphism group Distinguishing homomorphisms of infinite graphs

### Contributions to Discrete Mathematics, Vol 6, No 1 (2011)

University Of Calgary Faculty Of Science
On a generalization of the Blaschke-Lebesgue theorem for disk-polygons Option-closed games Adjusting a conjecture of Erdős Coefficients of chromatic polynomials and tension polynomials 2L-convex polyominoes: Geometrical aspects Cones of partial metrics Claw-freeness, 3-homogeneous subsets of a graph and a reconstruction problem Dual linear spaces generated by a non-Desarguesian configuration Partially critical tournaments and partially critical supports

### Contributions to Discrete Mathematics, Vol 5, No 2 (2010)

University Of Calgary Faculty Of Science
Strictly chained (p,q)-ary partitions Polytopes derived from sporadic simple groups Signed b-matchings and b-edge covers of strong product graphs Connected domination dot-critical graphs Freiman's theorem for solvable groups On the Parity of p(n,3) and p_Ψ(n,3) The Cops and Robber game on graphs with forbidden (induced) subgraphs Some Ramsey theorems for finite n-colorable and n-chromatic graphs Bounds and constructions for n-e.c. tournaments Homotopy types of independence complexes of forests Least-squares approximation by a tree distance Generalized...

### Contributions to Discrete Mathematics, Vol 4, No 1 (2009)

University Of Calgary Faculty Of Science
The search for N-e.c. graphs Results on permutations with distinct difference property A local characterization of combinatorial multihedrality in tilings Geometric realizations of special toroidal complexes {-1,2}-hypomorphy and hereditary hypomorphy coincide for posets Classifying real Lehmer triples: a revived computation Weakly partitive families on infinite sets Computing holes in semi-groups and its applications to transportation problems

### Contributions to Discrete Mathematics, Vol 2, No 1 (2007)

University Of Calgary Faculty Of Science
Classes of codes from quadratic surfaces of PG(3,q) An explicit treatment of biquadratic function fields On the rigidity of regular bicycle (n,k)-gons Coloring edges and vertices of graphs without short or long cycles A proof of an extension of the icosahedral conjecture of Steiner for generalized deltahedra Bounds on the achromatic number of partial triple systems A canonical partition theorem for trees The flow lattice of oriented matroids

### Binding number, minimum degree and (g,f)-factors of graphs

Takamasa Yashima
Let a and b be integers with 2<= a< b, and let G be a graph of order n with n>= (a+b-1)^2/(a+1) and the minimum degree \delta(G)<= 1+(((b-2)n)/(a+b-1)). Let g and f be nonnegative integer-valued functions defined on V(G) such that a<= g(x)=1+((b-2)/(a+1)), then G has a (g,f)-factor.

### Small on-line Ramsey numbers---a new approach

Pawel Pralat & Przemyslaw Gordinowicz
In this note, we revisit the problem of calculating small on-line Ramsey numbers R(G,H). A new approach is proposed that reduces the running time of the algorithm determining that R(K_3,K_4)=17 by a factor of at least 2*10^6 comparing to the previously used approach. Using high performance computing networks, we determined that R(K_4,K_4) <= 26, R(K_3,K_5) < 25, and that R(K_3,K_3,K_3) <= 20 for a natural generalization to three colours. All graphs on 3 or 4...

### On the metric dimension of circulant graphs with $4$ generators

Tomas Vetrik
Circulant graphs are Cayley graphs of cyclic groups and the metric dimension of circulant graphs with at most $3$ generators has been extensively studied especially in the last decade. We extend known results in the area by presenting the lower and the upper bounds on the metric dimension of circulant graphs with $4$ generators.

### Split (n + t)-color partitions and 2-color F-partitions

Meenakshi Rana & J. K. Sareen
Andrews [Generalized Frobenius partitions. Memoirs of the American Math. Soc., 301:1{44, 1984] defined the two classes of generalized F-partitions: F-partitions and k-color F-partitions. For many q-series and Rogers-Ramanujan type identities, the bijections are established between F-partitions and (n + t)-color partitions. Recently (n + t)-color partitions have been extended to split (n+t)-color partitions by Agarwal and Sood [Split (n+t)-color partitions and Gordon-McIntosh eight order mock theta functions. Electron. J. Comb., 21(2):#P2.46, 2014]. The purpose of...

### On combinatorial extensions of Rogers-Ramanujan type identities

Megha Goyal
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to provide new partition theoretic meanings to two generalized basic series in terms of ordinary partitions satisfying certain anti-hook difference conditions. Five particular cases are also discussed. These particular cases yield new partition theoretic versions of G\"{o}llnitz-Gordon identities and G\"{o}llnitz identity. Five $q$-identities of Rogers and three $q$-identities of Slater are further explored. These results extend the work of...

### Updating an ODA policy in Canada: the Role of Global Remittances in Development

Cynthia Bansak & Nicole Simpson
The federal government has pledged to update Canada's development assistance (ODA) policy and this paper examines the important role of remittances in the development program. Remittances can serve as a significant form of cross-border capital flows and can have sizable effects on both the sending and receiving countries. This policy piece provides an overview of trends in global remittances and gives a context for the policy discussion on the relationship between remittances and ODA. The...

### Maintaining optimism and instilling hope: The work of academic integrity practitioners and scholars

Brandy Usick
We open the second volume of the journal with a reflection on the state of our world and campuses and the importance of our work as academic integrity practitioners and scholars. We announce the evolution of the journal to include both peer-reviewed research and practitioner articles.

### Touching From a Distance: Nursing and Carnal Hermeneutics

Graham McCaffrey
Carnal hermeneutics represents a new development in hermeneutic thinking, extending Merleau-Ponty’s work on embodiment. It is potentially useful for applied hermeneutics in nursing, which is a discipline of caring for and with bodies. In this paper, I take up key essays by Richard Kearney and Brian Treanor that establish themes in carnal hermeneutics, exploring them in relation to nursing. In the first part, I focus on medical nursing using an example from a student nurse’s...

### Touching From a Distance: Nursing and Carnal Hermeneutics

Graham McCaffrey
Carnal hermeneutics represents a new development in hermeneutic thinking, extending Merleau-Ponty’s work on embodiment. It is potentially useful for applied hermeneutics in nursing, which is a discipline of caring for and with bodies. In this paper, I take up key essays by Richard Kearney and Brian Treanor that establish themes in carnal hermeneutics, exploring them in relation to nursing. In the first part, I focus on medical nursing using an example from a student nurse’s...

### A Hermeneutic Approach to Pain: Gadamer on Pain, Finitude, and Recovery

Alexander Crist
While philosophical hermeneutics has often been criticized for not engaging issues concerning the body and human finitude, Gadamer’s ‘Defense of Pain’ in his final public academic appearance is an underappreciated hermeneutic contribution to the way in which we experience and respond to the physical and existential demands of pain. In light of his criticism, that the modern medical community is occupied with the utter eradication of pain, Gadamer is concerned with the consequences of such...

### Defending Hermeneutics

Emily P Williams, Catherine M Laing & Isabel Brun
This article offers several perspectives on the challenges of defending Gadamerian hermeneutics in applied research settings, specifically counselling psychology and nursing. Given the lack of methodological steps associated with the method, researchers employing hermeneutics can be vulnerable to scrutiny from others. We discuss the uncertainty that is inevitable when embarking on hermeneutic inquiry and provide personal accounts of how we have encountered the uncertain nature of hermeneutics.

### Deconstructing the Phenomenon of Apology

Amie Cameal Liddle
Within Alberta Health Services, the Alberta Provincial Patient Relations Department employs Patient Relations Consultants (PRCs) to assist unsatisfied patients, investigate healthcare related concerns, and facilitate resolution. The patients, who are referred to as complainants, interpret their experience and come forward with their complaint; the PRC is responsible to then interpret the complaint and take it forward for redress. In doing so, offering complainants an apology is unavoidable. Patient relations is an interpretive practice, however, and...

### And Coyote Howled: Listening to the Call of Interpretive Inquiry

Kate Melissa Beamer
In this article, I explore aspects of grief and the surprising mirroring of hermeneutic research and the experience of grief. Neither grief or hermeneutic research are predictable, formulaic, or without surprises, and both require patience, humility, and an openness to what comes to greet us in the nature of aletheia.

### The Case of the Disappearing/Appearing Slow Learner: An Interpretive Mystery. Part Four: Quaint Notions of Justice

W. John Williamson
These chapters follow the events described in Parts One to Three of this narrative. Max Hunter, a private detective, is still on the trail of “slow learners,” a category of students his client, educator John Williamson, claims are continually getting “lost” in Alberta’s school system. Max encounters philosophers, fellow educators, and even students labeled as slow learners, all of whom have suggestions for finding these students in ways that attend to them as learners while...

### Intensive Care Unit Nursing: An Interpretable and Hermeneutic Practice

Giuliana Harvey, Dianne M Tapp & Nancy J Moules
Intensive care unit (ICU) nursing is an interpretive practice. Hermeneutics, as an interpretive philosophy, is an ideal approach to make meaning of the ambiguities that exist in this intensive practice setting. This paper uses the underpinnings from Gadamer’s philosophical hermeneutics to explore the idea that ICU nursing is an interpretive practice.

### The Symbolism of Evil in the Big Book of AA

Kari Latvanen
Alcoholics Anonymous (AA) describes itself as a “fellowship of men and women who share their experience, strength and hope with each other that they may solve their common problem and help others to recover from alcoholism” (Alcoholics Anonymous, 2010). The fellowship has millions of members all around the world and the number of independent AA groups is counted in tens of thousands. In this article, I try to understand the recovery from alcoholism in the...

### Knowing People and Interpretive Practice

Whitney C Turcato, Graham McCaffrey & Nancy J Moules
This paper is my response to the statement “All nursing is interpretive.” Using an exemplar from my experience as an outreach nurse with the homeless population, I provide my perspective on how nursing is not only interpretive, but how interpretation is an integral component of nursing practice across practice settings. It is demonstrated that interpretation not only helps us to know people, but can also help us navigate our settings and at times keep us...

### Sunflowers, Coyote, and Five Red Hens

David W Jardine
I feel uneasy stepping into the great territories opened up by Nancy Moules (2017) and Kate Beamer (2017) at the tail end of last year’s Journal of Applied Hermeneutics. It is not (yet) a territory I have endured as deeply. That bracketed “yet” is little more than a feeble attempt at trying to remember not to forget what surrounds us all, whatever its proximity.

### \"Asleep in My Sunshine Chair\"

David W Jardine
This paper takes up themes from Kevin Aho's (2018) paper and links its explorations of the history of neurasthenia to the nature and aim of hermeneutic inquiry itself.

### A Hermeneutic Approach to Pain: Gadamer on Pain, Finitude, and Recovery

Alexander Crist
While philosophical hermeneutics has often been criticized for not engaging issues concerning the body and human finitude, Gadamer’s ‘Defense of Pain’ in his final public academic appearance is an underappreciated hermeneutic contribution to the way in which we experience and respond to the physical and existential demands of pain. In light of his criticism, that the modern medical community is occupied with the utter eradication of pain, Gadamer is concerned with the consequences of such...

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